Find the measure of angle B

Step-by-step 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

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x