Question

ZA and ZB are vertical angles. If m≤A = (7x + 4)° and m

ZB = (8x − 20)°, then find the measure of ZB.

Answer 1

mAngleB = 172°

Explanation:

"vertical angles" means that the angles are equal to each other.

We can write an equation:

7x + 4 = 8x - 20

subtract 7x from both sides.

4 = x - 20

add 20 to both sides

24 = x

Then, the question asks for the measure of AngleB.

AngleB

= 8x - 20

= 8(24) - 20

= 192 - 20

= 172

mAngleB = 172°