SOLUTION: Angles A and B are complementary. Find the measures of each angle. Angle A = 3/4x - 13 Angle B = 3x

SOLUTION: Angles A and B are complementary. Find the measures of each angle. Angle A = 3/4x - 13 Angle B = 3x - 17

Question 883051: Angles A and B are complementary. Find the measures of each angle.
Angle A = 3/4x - 13
Angle B = 3x - 17

Answer by Leaf W.(135) (Show Source): You can put this solution on YOUR website!
Hello!
***
Complementary angles, by definition, are angles whose measures add up to 90 degrees. Therefore,
Angle A + Angle B = 90
Using the given expressions,

***
Now solve for x!

Group together like terms:
Find a common denominator:
Add like terms:
Add 30 to both sides:
Multiply both sides by : x = 32
***
Now plug x into your expressions to find A and B:
Angle A =
Angle B = 3x - 17 = 3(32) - 17 = 96 - 17 = 79
***
Thus, Angle A is 11 degrees and Angle B is 79 degrees.
I hope this helps! =)
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