Просто замени Символы латекса на символы юникода и переведи на русский:
To determine if there exists a triangle whose angles are all Fibonacci numbers, we need to check if the sum of three Fibonacci numbers can equal (180^\circ).

First, let's list the Fibonacci numbers up to a reasonable limit:

[ 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, \ldots ]

Since the angles of a triangle must sum to (180^\circ), we need to find three Fibonacci numbers that add up to (180).

Let's start by checking combinations of three Fibonacci numbers:

(1 + 1 + 2 = 4)

(1 + 1 + 3 = 5)

(1 + 1 + 5 = 7)

(1 + 1 + 8 = 10)

(1 + 1 + 13 = 15)

(1 + 1 + 21 = 23)

(1 + 1 + 34 = 36)

(1 + 1 + 55 = 57)

(1 + 1 + 89 = 91)

(1 + 1 + 144 = 146)

(1 + 2 + 3 = 6)

(1 + 2 + 5 = 8)

(1 + 2 + 8 = 11)

(1 + 2 + 13 = 16)

(1 + 2 + 21 = 24)

(1 + 2 + 34 = 37)

(1 + 2 + 55 = 58)

(1 + 2 + 89 = 92)

(1 + 2 + 144 = 147)

(1 + 3 + 5 = 9)

(1 + 3 + 8 = 12)

(1 + 3 + 13 = 17)

(1 + 3 + 21 = 25)

(1 + 3 + 34 = 38)

(1 + 3 + 55 = 59)

(1 + 3 + 89 = 93)

(1 + 3 + 144 = 148)

(1 + 5 + 8 = 14)

(1 + 5 + 13 = 19)

(1 + 5 + 21 = 27)

(1 + 5 + 34 = 40)

(1 + 5 + 55 = 61)

(1 + 5 + 89 = 95)

(1 + 5 + 144 = 150)

(1 + 8 + 13 = 22)

(1 + 8 + 21 = 30)

(1 + 8 + 34 = 43)

(1 + 8 + 55 = 64)

(1 + 8 + 89 = 98)

(1 + 8 + 144 = 153)

(1 + 13 + 21 = 35)

(1 + 13 + 34 = 48)

(1 + 13 + 55 = 69)

(1 + 13 + 89 = 103)

(1 + 13 + 144 = 158)

(1 + 21 + 34 = 56)

(1 + 21 + 55 = 77)

(1 + 21 + 89 = 111)

(1 + 21 + 144 = 166)

(1 + 34 + 55 = 90)

(1 + 34 + 89 = 124)

(1 + 34 + 144 = 179)

(1 + 55 + 89 = 145)

(1 + 55 + 144 = 200)

(1 + 89 + 144 = 234)

(2 + 3 + 5 = 10)

(2 + 3 + 8 = 13)

(2 + 3 + 13 = 18)

(2 + 3 + 21 = 26)

(2 + 3 + 34 = 39)

(2 + 3 + 55 = 60)

(2 + 3 + 89 = 94)

(2 + 3 + 144 = 149)

(2 + 5 + 8 = 15)

(2 + 5 + 13 = 20)

(2 + 5 + 21 = 28)

(2 + 5 + 34 = 41)

(2 + 5 + 55 = 62)

(2 + 5 + 89 = 96)

(2 + 5 + 144 = 151)

(2 + 8 + 13 = 23)

(2 + 8 + 21 = 31)

(2 + 8 + 34 = 44)

(2 + 8 + 55 = 65)

(2 + 8 + 89 = 99)

(2 + 8 + 144 = 154)

(2 + 13 + 21 = 36)

(2 + 13 + 34 = 49)

(2 + 13 + 55 = 70)

(2 + 13 + 89 = 104)

(2 + 13 + 144 = 159)

(2 + 21 + 34 = 57)

(2 + 21 + 55 = 78)

(2 + 21 + 89 = 112)

(2 + 21 + 144 = 167)

(2 + 34 + 55 = 91)

(2 + 34 + 89 = 125)

(2 + 34 + 144 = 180)

(2 + 55 + 89 = 146)

(2 + 55 + 144 = 201)

(2 + 89 + 144 = 235)

(3 + 5 + 8 = 16)

(3 + 5 + 13 = 21)

(3 + 5 + 21 = 29)

(3 + 5 + 34 = 42)

(3 + 5 + 55 = 63)

(3 + 5 + 89 = 97)

(3 + 5 + 144 = 152)

(3 + 8 + 13 = 24)

(3 + 8 + 21 = 32)

(3 + 8 + 34 = 45)

(3 + 8 + 55 = 66)

(3 + 8 + 89 = 100)

(3 + 8 + 144 = 155)

(3 + 13 + 21 = 37)

(3 + 13 + 34 = 50)

(3 + 13 + 55 = 71)

(3 + 13 + 89 = 105)

(3 + 13 + 144 = 160)

(3 + 21 + 34 = 58)

(3 + 21 + 55 = 79)

(3 + 21 + 89 = 113)

(3 + 21 + 144 = 168)

(3 + 34 + 55 = 92)

(3 + 34 + 89 = 126)

(3 + 34 + 144 = 181)

(3 + 55 + 89 = 147)

(3 + 55 + 144 = 202)

(3 + 89 + 144 = 236)

(5 + 8 + 13 = 26)

(5 + 8 + 21 = 34)

(5 + 8 + 34 = 47)

(5 + 8 + 55 = 68)

(5 + 8 + 89 = 102)

(5 + 8 + 144 = 157)

(5 + 13 + 21 = 39)

(5 + 13 + 34 = 52)

(5 + 13 + 55 = 73)

(5 + 13 + 89 = 107)

(5 + 13 + 144 = 162)

(5 + 21 + 34 = 60)

(5 + 21 + 55 = 81)

(5 + 21 + 89 = 115)

(5 + 21 + 144 = 170)

(5 + 34 + 55 = 94)

(5 + 34 + 89 = 128)

(5 + 34 + 144 = 183)

(5 + 55 + 89 = 149)

(5 + 55 + 144 = 204)

(5 + 89 + 144 = 238)

(8 + 13 + 21 = 42)

(8 + 13 + 34 = 55)

(8 + 13 + 55 = 76)

(8 + 13 + 89 = 110)

(8 + 13 + 144 = 165)

(8 + 21 + 34 = 63)

(8 + 21 + 55 = 84)

(8 + 21 + 89 = 118)

(8 + 21 + 144 = 173)

(8 + 34 + 55 = 97)

(8 + 34 + 89 = 131)

(8 + 34 + 144 = 186)

(8 + 55 + 89 = 152)

(8 + 55 + 144 = 207)

(8 + 89 + 144 = 241)

(13 + 21 + 34 = 68)

(13 + 21 + 55 = 89)

(13 + 21 + 89 = 123)

(13 + 21 + 144 = 178)

(13 + 34 + 55 = 102)

(13 + 34 + 89 = 136)

(13 + 34 + 144 = 191)

(13 + 55 + 89 = 157)

(13 + 55 + 144 = 212)

(13 + 89 + 144 = 246)

(21 + 34 + 55 = 110)

(21 + 34 + 89 = 144)

(21 + 34 + 144 = 199)

(21 + 55 + 89 = 165)

(21 + 55 + 144 = 220)

(21 + 89 + 144 = 254)

(34 + 55 + 89 = 178)

(34 + 55 + 144 = 233)

(34 + 89 + 144 = 267)

(55 + 89 + 144 = 288)

From the above combinations, we see that the only combination of three Fibonacci numbers that sums to (180) is:

[ 2 + 34 + 144 = 180 ]

Therefore, there exists exactly one triangle whose angles are all Fibonacci numbers.