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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.
Measure of Angle A =
degrees.
Measure of Angle N =
A
degrees.

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 Measure of Angle A degrees Measure of class=

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BasketballEinstein

Answer:

[tex]10 = x[/tex]

[tex]40° = Measure\:of\:Angle\:A[/tex]

[tex]50° = Measure\:of\:Angle\:B[/tex]

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°

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

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

I am joyous to assist you anytime.

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