Recall that two angles are complementary if the sum of their measures is​ 90°. find the measures of two complementary angles if one angle is nine times the other angle.

Mathematics · High School · Thu Feb 04 2021

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Let one angle be x

Then, another angles is 9x

Sum of two complementary angles are 90°

So, x + 9x = 90°

10x = 90°

x = 90°/10

x = 9°

So, angle 1 = 9°

And, angle 2 = 9 × 9°

= 81°