Answer:
The two supplementary angles are 10 and 170 degrees.
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 x
represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180 2 x = 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 degrees larger than the other one.
10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.