Question

Two complentary angles are drawn such that one angle is 10 more than seven times the other angle find the measure of each angle

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Answer 1

10° and 80°

Explanation:

Complementary angles sum to 90°

let one angle be x then the other angle is 7x + 10 , so

x + 7x + 10 = 90

8x + 10 = 90 ( subtract 10 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

and 7x + 10 = 7(10) + 10 = 70 + 10 = 80

Thus the 2 angles are 10° and 80°