Question

Finding angles June 23.2020

Answer 1

Answer:

angle B is 38 degree

Step-by-step explanation:

In triangle ADC,

finding angle C

angle A + angle C = 110 degree (sum of two interior opposite angles are equal to the exterior angle formed)

46 + angle C = 110

angle C = 110 - 46

angle C = 64 degree

In triangle ABC

finding angle B

angle A + angle B + angle C = 180 degree (sum of interior angles of a triangle)

78 + angle B + 64 = 180

142 + angle B = 180

angle B = 180 - 142

angle B = 38 degree