The measure of two complementary angles have a ratio of 3:2. What is the measure of the larger angle?
1 answer:
Answer:
54 degrees
Step-by-step explanation:
Complementary angles add to 90 degrees
3:2
Multiply each by x
3x:2x
Add the angles together and set equal to 90
3x+2x = 90
Combine like terms
5x= 90
Divide each side by 5
5x/5 = 90/x
x =18
The angles are 3x = 3(18) =54
and 2x = 2(18) = 36
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