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A and B are supplementary angles. If m_A = (x – 16) and m_B = (3x + 28)°, then find the measure of A.

User TheBlueCat
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1 Answer

23 votes
23 votes

ANSWER

26 degrees

Step-by-step explanation

Supplementary angles are angles which add up to 180 degrees.

This means that if we add two angles that are supplementary, we will get 180 degrees.

A and B are supplementary angles.

We have that:

A = (x - 16)

B = (3x + 28)

Therefore:

A + B = 180

x - 16 + 3x + 28 = 180

Collect like terms and simplify:

4x + 12 = 180

4x = 180 - 12 = 168

=> x = 168 / 4

x = 42 degrees

This means that:

A = x - 16 = 42 - 16

A = 26 degrees

User Priyank Patel
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