Question

Find the measure of angle B
A.95
B.48
C.15
D.12
E.84

Answer 1

E) 84

Explanation:

side AB is congruent to side AX

this means that the angle ∠A = 4x is the same angle as ∠Z

therefore ∠A = ∠Z = 4x

inside angle of a triangle = 180

∠A + ∠B + ∠Z = 180

4x + 7x + 4x = 180

15x = 180

x = 180/15

x = 12

now substitute x = 12 into angle B

∠B = 7x

∠B = 7 (12)

∠B = 84

therefore, the answer is E) 84