Question: What season in the National Football League was the New England Patriots when they beat the Kansas City Chiefs 27-20 in the divisional round?

Context paragraphs:
1986 New York Jets season: The 1986 New York Jets season was the 27th season for the team and the 17th in the National Football League.  It began with the team trying to improve upon its 11–5 record from 1985 and return to the playoffs under head coach Joe Walton.  The Jets finished the season with a record of 10–6, qualifying for the top Wild Card spot in the playoffs despite losing their last five games of the season.  They defeated the Kansas City Chiefs in the Wild Card round, but lost to the Cleveland Browns in the divisional round.  The loss to the Browns is infamous in Jets history.  Leading 20–10 in the 4th quarter, the Jets collapsed when Mark Gastineau hammered Browns quarterback Bernie Kosar seconds after he released a pass; Gastineau was flagged for roughing the passer and the Browns rallied to force overtime and win early in the game's second overtime.

Jim Kearney: James Lee Kearney (born January 21, 1943 in Wharton, Texas) is a former American football safety who played twelve seasons in the National Football League and the American Football League from 1965-1976.  In college, he played quarterback for Prairie View A&M, where one of his wide receivers was future Kansas City Chiefs teammate Otis Taylor.  He was drafted in the 11th round of the 1965 NFL Draft by the Detroit Lions.  He then played for the Chiefs from 1967 through 1975 and for the New Orleans Saints in 1976.  He started in Super Bowl IV for the Kansas City Chiefs.  In 1972, he tied an NFL record by returning four interceptions for touchdowns.  He also led the league with 192 yards on interception returns.  He wore jersey number 46 while with the Chiefs.  In retirement, he has taken up golf and coached little league football in the Kansas City area.

2015 New England Patriots season: The New England Patriots season was the franchise's 46th season in the National Football League, the 56th overall and the 16th under head coach Bill Belichick.  The Patriots entered the season as the defending Super Bowl champions.

2010 New York Jets season: The 2010 New York Jets season was the franchise's 41st season in the National Football League, the 51st season overall and the team's first season at New Meadowlands Stadium.  The team improved on their 9–7 record from 2009 and reached the playoffs again.  The Jets played their first pre-season game home against the New York Giants to open up Meadowlands Stadium.  Many considered them AFC East favorites; head coach Rex Ryan went so far as to guarantee a Super Bowl victory.  Jets broke a team record with a franchise best 6 consecutive wins on the road with a win against the Lions, followed by a win against the Browns in week 10.  In the same victory against the Browns, the Jets became the first team in NFL history to win back-to-back road games in overtime.  The Jets were the last NFL team to be undefeated on the road, before suffering a 45–3 loss at the New England Patriots in Week 13.  The Jets met the Patriots again five weeks later in the AFC Divisional Round back in Foxboro where New York defeated New England 28–21.  The following week, the Jets lost 24–19 against the Pittsburgh Steelers in the AFC Championship.  To date, this was the last time the New York Jets qualified for the postseason, as of 2016.

2013 Indianapolis Colts season: The Indianapolis Colts season was the franchise's 61st season in the National Football League, the 30th in Indianapolis and the second season under head coach Chuck Pagano, who missed most of the 2012 season due to treatment for leukemia.  The Colts have matched their 2012 record of 11–5, but went undefeated within the division this season.  The Colts planned to advance further than the Wild Card round in the playoffs than in 2012, where they lost to the Ravens.  They had done so after coming off of a 28-point trail against the Chiefs to win 45–44 at home.  However, the Colts were defeated by the New England Patriots in the Divisional round, by a score of 43–22.

1985 Denver Broncos season: The Denver Broncos season was the team's 26th year in professional football and its 16th with the National Football League (NFL).  Despite finishing with an impressive record of eleven wins and five losses, the Broncos failed to make the playoffs.  The Broncos were coming off a loss to the Steelers in the divisional round, and were picked by many to make the Super Bowl at the end of the 1985 season.  The Broncos would start out well, as they started 6-2 and 8-3.  However, two losses in overtime to arch rival Los Angeles resulted in the Broncos needing to win their final two games of the season to try to sneak into the playoffs.  They did just that, beating Kansas City 14-13 and Seattle 27-24.  However, even though the Broncos finished 11-5, they failed to reach the playoffs by virtue of a tiebreaker with the New England Patriots.  The tiebreaker was based on the teams' common opponents record; and the Patriots beat the Broncos in that category by finishing 4-2 against the Raiders, Seahawks, Dolphins, and Colts, while the Broncos finished just 3-3 against the same four teams.  The 1985 Broncos are one of two teams in NFL history since the 1970 merger to end the season with eleven or more wins and not qualify for the playoffs.  The other is the 2008 Patriots.

2015 Kansas City Chiefs season: The Kansas City Chiefs season was the franchise's 46th season in the National Football League, the 56th overall and the third under the head coach/general manager tandem of Andy Reid and John Dorsey.  The Chiefs went through a poor start in their first 6 games as they were 1–5, and lost their star running back, Jamaal Charles due to a torn ACL in his right knee during an 18–17 Week 5 loss at home against the Chicago Bears.  In week 16, after their 9th consecutive victory and the Baltimore Ravens defeating the Pittsburgh Steelers, the Chiefs clinched a playoff berth, their 2nd in 3 years.  They are the first team since the 1970 Cincinnati Bengals to start the season 1–5 and qualify for the playoffs.  They also set the franchise record for the most consecutive victories, winning 10 in a row.  In their wildcard matchup, the Chiefs played the Houston Texans.  The Chiefs defeated the Texans 30–0 to earn their first playoff win in 22 years.  The following week, they were defeated by the New England Patriots in the Divisional round by a score of 27–20.

2014 Kansas City Chiefs season: The Kansas City Chiefs season was the franchise's 55th season and the second under the head coach/general manager tandem of Andy Reid and John Dorsey.  The Chiefs broke the crowd noise record on Monday Night Football against the New England Patriots on September 29, 2014 with a crowd roar of 142.2 decibels.  The Chiefs failed to match their 11–5 record from 2013, and missed the playoffs.  However, they defeated both teams that would eventually meet in that season's Super Bowl.  The 2014 Kansas City Chiefs became the first NFL team since the 1964 New York Giants, and the only team in the 16 game season era, to complete an entire season with no touchdown passes to a wide receiver.

2013 New England Patriots season: The New England Patriots season was the franchise's 44th season in the National Football League and the 54th overall.  The Patriots finished 12–4 and with the AFC's No. 2 seed for a second consecutive season.  Along with their seeding, New England was awarded a first-round bye in the playoffs for the fourth season in a row, only the second such occurrence for any team since the league switched to a 6-team playoff format in 1990 (the others being the 1992-95 Dallas Cowboys).  The Patriots defeated the Indianapolis Colts 43–22 in the Divisional round of the playoffs, but lost in the AFC Championship game to the Denver Broncos, by a score of 26–16.

2016 Kansas City Chiefs season: The 2016 Kansas City Chiefs season was the franchise's 47th season in the National Football League, the 57th overall and the fourth under head coach Andy Reid and the fourth and final season under general manager John Dorsey who was fired June 22, 2017.  The Chiefs clinched their first AFC West division title since 2010.  The Chiefs also clinched a first-round bye for the first time since 2003, but lost to the Pittsburgh Steelers in the divisional round.

Supporting paragraphs: 2015 Kansas City Chiefs season 2015 New England Patriots season
Answer: 46th season