Question

Two angles are supplementary if their sun is 180. The larger angle measures five degrees more than four times the measures of a smaller angles. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle

The smaller angle measures:
The larger angle measures:

Answer 1

The smaller angle is 35 and the larger one is 145.

Explanation:

In order to find this, we need to express the larger angle in terms of the smaller angle (x).

4x + 5 = large angle.

Now that we have this, we can add them together and set equal to 180.

x + (4x + 5) = 180

5x + 5 = 180

5x = 175

x = 35

Now that we have the value of the smaller angle, we can plug in to get the larger angle.

y = 4x + 5

y = 4(35) + 5

y = 140 + 5

y = 145