Question

One angle of a triangle is 75° and the other two are in the ratio 7 : 8. Find the

other two angles.​

Answer 1

Answer:

49 and 56

Step-by-step explanation:

let the two unknown angles be 7x and 8x.

now, according to angle sum property of a triangle, sum of all angles should be 180.

: .  75 + 7x + 8x = 180

: . 15x = 180 - 75

: . x = 105/15

: . x = 7

: . 7x = 7*7 = 49

& 8x = 8*7 = 56

: . other two angles are - 49 and 56

Answer 2

Answer:

according to angle sum property

sum of interior angles of a triangles = 180°

so

75° + 7x + 8x =180°

75° + 15x = 180°

15x = 180° - 75° = 105°

x = 105°/15 = 7

angle2 = 7x = 7 x 7 = 49°

angle3 = 8x = 8 x 7 = 56°

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