Question

An angle measures 32° less than the measure of its complementary angle. What is the

measure of each angle?

Answer 1

First angle = x

Second angle = x - 32

We know that, complementary angles form => 90°

So,

`x + x - 32= 90 \\ 2x = 90 + 32 \\ 2x = 122 \\ x = (122)/(2) \\ x = 61`

First angle,

=> x = 61°

Second angle

`x - 32 \\ = 61 - 32 \\ = 29`

Second angle,

=> 29°

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