Question

"ZA and ZB are vertical angles. If m_A = (6x – 11)° and mZB

then find the measure of ZB.
Options:
a) (5x + 4)°
b) (5x - 4)°
c) (6x - 11)°
d) (11 - 6x)°"

Answer 1

To find the measure of ZB, we substitute mZA into the equation mZB = mZA = (6x - 11)°. Therefore, the measure of ZB is (6x - 11)°.

Step-by-step explanation:

To find the measure of ZB, we need to consider that ZA and ZB are vertical angles, which means they are congruent. Therefore, mZA = mZB. We are given that mZA = (6x - 11)°. So, to find mZB, we can substitute mZA into the equation:

mZB = mZA = (6x - 11)°

Therefore, the measure of ZB is (6x - 11)°. So, the correct answer is option c) (6x - 11)°.