Question

In triangle ABC, angle A +angle B=116 degree , angle C +angle B=126 degree. Find the measure of each angle of the triangle.

Answer 1

Answer:

a = 54°

b = 62°

c = 64°

Step-by-step explanation:

sum of all angles of triangle is 180

a + b + c = 180 equ 1

a + b = 116 equ 2

c + b = 126 equ 3

add 1 and 2

a + c + 2b = 242 equ 4

subtract (4) - (1)

b = 62

a + b = 116

a + 62 = 116

a = 116 - 62 = 54

c + b = 126

c + 62 = 126

c = 126 - 62 = 64

Answer 2

Answer:

angle A =54°

angle B =62°

angle C =64°

Step-by-step explanation:

In triangle ABC

angle A +angle B + angle C =180°

116° + angle c = 180° (angle sum propertie) (angle A +angle B= 116°)

angle C = 180° - 116°

angle C = 64°

so,

angle B + angle C = 126°

angle B + 64° = 126°

angle B = 126° - 64°

angle B = 62°

angle A + angle B = 116°

angle A + 62° = 116°

angle A = 116° - 62°

angle A = 54°