SOLUTION: The measure of one complementary angle is six times as large as the measure of the second angle. What is the measure of each angle?
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Question 546518: The measure of one complementary angle is six times as large as the measure of the second angle. What is the measure of each angle? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The measure of one complementary angle is six times as large as the measure of the second angle. What is the measure of each angle?
If two angles are complementary, the sum must be 90 degrees
.
Let x = smaller angle
then
6x = larger angle
.
x + 6x = 90
7x = 90
x = 90/7 degrees (smaller angle)
0r, approximately 12.86 degrees
.
Larger angle:
6x = 6(90/7) = 540/7 degrees (larger angle)
0r, approximately 77.14 degrees
