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Question 326005: My question is: Find the measures of two complementary angles such that the larger angle is twice that of the smaller angle.
Thank You! ;)
Answer by jessica43(140)   (Show Source):
You can put this solution on YOUR website! To solve this problem, you are going to have to write two equations using what you know.
First, you know that you have two complementary angles. This means that together the angles add up to 90 degrees. So:
A + B = 90 (where A = measure of the larger angle, B = measure of the smaller angle)
Second, you know that the larger angle (A) is twice that of the smaller angle (B):
A = 2B
Now you can plug in the second equation into the first and solve for B:
A + B = 90
(2B) + B = 90
3B = 90
B = 30
Finally, plug this value into the first equation to find A:
A + B = 90
A + 30 = 90
A = 60
So angle A is 60 degrees and angle B is 30 degrees.
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