An angle measures 35.8° less than the measure of a complementary angle. What is the measure of each angle?

Question

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Answer 1

Let's say you have 2 complimentary angles, x and y

So x + y = 90

if x is 35.8 degrees less than the measure of a complementary angle, then x = y - 35.8

Putting this into our x + y = 90 equation, we get

(y - 35.8) + y = 90

2y - 35.8 = 90

2y = 90 + 35.8

2y = 125.8

y = 125.8/2 = 62.9 degrees.

so x = 62.9 - 35.8 = 27.1 degrees.

See if it worked. x = 27.1 y = 62.9 x + y = 90 so we found the correct two angles! :-)