SOLUTION: when you add the measure of an angle to twice the measure of its complement, the sum is the measure of the angles supplement.

Algebra.Com
Question 1157256: when you add the measure of an angle to twice the measure of its complement, the sum is the measure of the angles supplement.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Two Angles are Supplementary when they add up to degrees.
Two Angles are Complementary when they add up to degrees.
let an angle be
its complement is
and its supplement is
when you add the measure of an angle to twice the measure of its complement, we have

the sum is the measure of the angles supplement,

set up equation and prove it is true statement:

......solve for


=> true

an examples to show that, when you add the measure of an angle to twice the measure of its complement, the sum is the measure of the angle's supplement:

let's say that the angle degrees
so, we have





same will be if degrees, degrees, degrees,....


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