Question

Angle A and Angle B are complimentary angles. Angle A measures 5x – 10, and Angle B measures 3x + 20. Find the measure of Angle B. x = Measure of Angle A = degrees. Measure of Angle N = degrees.

Answer 1

`10 = x`

`40° = Measure\:of\:Angle\:A`

`50° = Measure\:of\:Angle\:B`

Explanation:

Complementary Angles sum up to 90°, so set the two expressions equal to 90°:

90° = [3x + 20]° + [5x - 10]°

90° = [10 + 8x]°

-10° - 10°

___________

80° = [8x]°

__ __

8° 8°

`10° = x` [Plug this back into both expressions to get m∠B at 50° and the m∠A at 40°.]

*
`20° + [3[10]]° = m∠B → 20° + 30° = 50° \\ \\ 50° = m∠B`

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