Question

An angle measures 140° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Answer:

Supplementry angle equals to 180°

Complementry angle equals to 360°

Answer 2

Step-by-step explanation:

Two angles are supplementary when that add up to 180 degrees.

In this case, we are given that one of the two angles is 160 degrees more than the other.

We can construct the following equation.

x+(x+160°)= 180°

Now, all we need to do is solve the equation for

2x+160°=180°

2x=20

x=10

Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160° larger than the other one.

10+160=170

Therefore, the two supplementary angles are 10 and 170°

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