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ZA and ZB are supplementary angles. If mZA = (7x + 15)° and mZB = (x + 13)°, then find the measure of ZA.

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4 votes

Answer:

The measure of ZA is of 148º.

Explanation:

If two angles are supplementary, the sum of their measures is 180º.

In this question:

ZA and ZB are supplementary. So

mZA + mZB = 180

We have that:

mZA = 7x+15

mZB = x + 13

Applying to the formula:

mZA + mZB = 180

7x + 15 + x + 13 = 180

8x + 28 = 180

8x = 180 - 28

8x = 152

x = 152/8

x = 19

Measure of ZA:

mZA = 7x + 15 = 7*19 + 15 = 148

The measure of ZA is of 148º.

User Srividya Sharma
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