Question

The angle measurements in the diagram are represented by the following expressions

ZA = 8r+6
B = 4.1 +38
Solve for x and then find the measure of B:
_B =

Answer 1

∠B = 70°

Explanation:

• as you can see, the angle are alternate exterior angles
• therefore, they are EQUAL
• we can set them equal to each and solve for x first

∠A = ∠B

8x + 6 = 4x + 38

4x + 6 = 38

4x = 32

x = 8

• now, we will plug in x in the expression for B to find B

4(8) + 38

32 + 38

= 70

• therefore, ∠B = 70° and x = 8