SOLUTION: In triangle ABC, angle A is twice as big as angle B, and angle C is 90°. Find the measures of angle A and angle B

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Question 760836: In triangle ABC, angle A is twice as big as angle B, and angle C is 90°. Find the measures of angle A and angle B
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
The interior angles of a triangle add up to 180.
So
We are given C = 90. We can plug that into the equation.

Subtract 90 from both sides.

Let that be equation 1.
Equation 1:
Equation 2:
Plug 2B into equation 1 for A

Combine like terms

Divide both sides by 3

Now plug 30 into equation 2 for B and solve for A.
Equation 2:


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