An angle measures 46°. What is the measure of its complement?


(b) An angle measures 82°. What is the measure of its supplement?

Respuesta :

Answer:

The complement of 46° = 44°

The supplement of 82° = 98°

Step-by-step explanation:

Complement means 90° - the angle (46°).

So, 90° - 46° = 44°

Supplement means 180° - the angle (82°)

So, 180° - 82° = 98°

The complement of 46° = 44°

The supplement of 82° = 98°

Complementary angles

Complementary angles are two angles that have a sum of 90°.

Supplementary angles

Supplementary angles are two angles that have a sum of 180°.

According to the question

a. An angle measures 46°.

The measure of its complement :

The meaning of complementary angle is two angles that add up to 90 degrees.

Complementary angles = sum of two angles = 90 degrees.

x° = y° + z°

90° =  y° + z°

Given y° = 46°

z° = 90° -  y°

z° = 90° -  46°

z° = 44°

The measure of its complement is 44°.

b. An angle measures 82°.

The meaning of supplementary angle is two angles that add up to 180 degrees.

Supplementary angles = sum of two angles = 180 degrees.

a° = b° + c°

180° =  b° + c°

Given  b° =  82°

c° = 180° -  b°

z° = 180° -  82°

z° = 98°

The measure of its supplement is 98°.

Find out more information about complementary and supplementary angles here

brainly.com/question/2882938

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