The sum of the measures of a complement and a supplement of an angle is 200. what is the measure of the angle?
55
70
35
20

B. .

Step-by-step explanation:

Let x be the required angle and y be its complement and z be its supplement.

We have been given that the sum the measures of a complement and a supplement of an angle is 200.

We know that complementary angles add up-to 90 degrees, so we can set an equation as:

We know that supplementary angles add up-to 180 degrees, so we can set an equation as:

We will use substitution method to solve our given equation. From equation (2) and (3) we will get,

Substituting these values in equation (1) we will get,

Combine like terms:

Therefore, the measure of the required angle is 70 degrees and option B is the correct choice.

i think 1: 2

step-by-step explanation:

mr. india