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ZA and ZB are complementary angles. If mA = (x + 13)° and m
ZB = (7x + 13)°, then find the measure of B.
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Answer 1

∠ B = 69°

Explanation:

complementary angle sum to 90° , that is

∠ A + ∠ B = 90°

x + 13 + 7x + 13 = 90

8x + 26 = 90 ( subtract 26 from both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Then

∠ B = 7x + 13 = 7(8) + 13 = 56 + 13 = 69°