Angle A is 20° larger than angle B. If A and B are complementary, What is the measure of angle A?

Question

Darren

Mathematics

15 July, 15:16

Angle A is 20° larger than angle B. If A and B are complementary, What is the measure of angle A?

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Answers (1)

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Houston Walsh · Answer 1

55 degrees

Step-by-step explanation:

A complementary angle equals 90 degrees so you know that the two angles together must equal that. The easiest way to set up these problems are to turn it into an algebraic equation. You know that angle a is 20 more than angle b, or angle a is (x+20) and angle b is (x). Your equation would read: x+x+20=90. Simply solve this equation then plug in the answer to whichever angle you need. 2x+20=90, 2x=70, x=35. Angle A is 20 degrees longer making it equal 55.