Question

ZA and ZB are complementary angles. If mA = (6x + 3)° and mZB = (7x + 9)°, then find the measure of ZA.

a) 6x + 3
b) 7x + 9
c) 90 - (7x + 9)
d) 90 - (6x + 3)

Answer 1

ZA and ZB are complementary angles and we need to find the measure of ZA using the given angles.

Step-by-step explanation:

ZA and ZB are complementary angles, which means that their measures add up to 90 degrees. We are given that mA = (6x + 3)° and mZB = (7x + 9)°.

To find the measure of ZA, we can use the fact that complementary angles add up to 90 degrees. So, we have the equation (6x + 3)° + (7x + 9)° = 90°.

Simplifying the equation, we get 13x + 12 = 90. Solving for x, we find that x = 6. Substituting x = 6 back into the expression for mA, we get mA = (6x + 3)° = (6*6 + 3)° = 39°.