Question

Given that and are supplementary angles and that , explain how to find the measure of the complement of .

Answer 1

The measure of the complement  is 25°.

What is supplementary and complementary angles?

If the sum of two angles is 180 degrees then they are said to be supplementary angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

Given that, $A_{1}$ = 115°

sum of two angles  $A_{1}+A_{2} = 180$°

                                  $A_{2} = 180- A_{1}$

                                  $A_{2} = 180- 115$

                                  $A_{2} = 65$°

Since,  $A_{1}$ and  $A_{2}$ are supplementary angles.

Now,

Complementary angles add to 90, so the complement of $A_{2}$  is 90 - $A_{2}$ .

Then,

90-65

= 25°

Hence,  The measure of the complement  is 25°.

To learn more about supplementary and complementary from the given link:

https://brainly.com/question/404323

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