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padilas [110]
3 years ago
15

The measures of two complementary angles are in the ratio 8:1. how many degrees are in the larger angle?

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
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