Question

ZA and B are supplementary angles. If mZA = (2x – 24) and m ZB = (5x – 27)º, then find the measure of ZB.​

A) 63º
B) 67º
C) 72º
D) 76º

Answer 1

To find the measure of angle ZB, use the fact that ZA and ZB are supplementary angles, which add up to 180 degrees. Solve the equation (2x - 24) + (5x - 27) = 180 for x, and then substitute the value of x to find the measure of ZB.

Step-by-step explanation:

To find the measure of angle ZB, we use the fact that ZA and ZB are supplementary angles, which means they add up to 180 degrees. We have the equation:

mZA + mZB = 180
(2x - 24) + (5x - 27) = 180
combining like terms and solving for x, we get:
7x - 51 = 180
7x = 231
x = 33

Now that we have the value of x, we can find the measure of ZB:
mZB = 5x - 27
= 5(33) - 27
= 165 - 27
= 138 degrees