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

Answer:

$10 = x$

$40° = Measure\:of\:Angle\:A$

$50° = Measure\:of\:Angle\:B$

Step-by-step 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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