SOLUTION: Let angle A and angle B be complementary angles and let m < A = (2x^2+35)� and m < B = (x+10)�. What is(are) the value(s) of x? What are the measures of the angles? Thanks in ad

Question 495724: Let angle A and angle B be complementary angles and let m < A = (2x^2+35)� and m < B = (x+10)�. What is(are) the value(s) of x? What are the measures of the angles?
Thanks in advance :)
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
2x^2 + 35 + x + 10 = 90
2x^2 + x + 45 = 90
2x^2 + x -45 = 0
(2x - 9)(x + 5)
x = 9/2 = 4.5
2(4.5)^2 = 40.5 + 35 = 75.5 Angle A
4.5 + 10 = 14.5 angle B
75.5 degrees + 14.5 degrees = 90 degrees.
This does check.
Cleomenius.

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