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:
(