# dma 040

posted by .

2 angles are supplementary if their sum is 180degress. Larger angle measures four degrees more than seven times the smaller angle. X represent the smaller angle and these two angles are supplementary. Find measure of each angle.

• dma 040 -

The larger angle would be 4 + 7x and the smaller would be x. They both add up to 180, so (x) + (7x + 4) = 180. This is 8x + 4 = 180. 8x = 176. x = 22. The smaller angle is 22.
The larger angle is 7x + 4, 7(22) + 4, 154 + 4 = 158

The 2 angles are 158 and 22.

## Similar Questions

1. ### Algebra

Two angles are complementary. The sum of the measure of the first angle and one-fourth of the second angle is 69 degrees. Find the measures of the angles. What is the measure of the smaller angle?
2. ### Algebra

Two angles are complementary. The sum of the measure of the first angle and one-fourth of the second angle is 69 degrees. Find the measures of the angles. What is the measure of the smaller angle?
3. ### algebra

Two angles are complementary.The sum of the first angle and half the second angle is 82 degrees. Find the measures of the angles. What is the measure of the smaller angle?
4. ### College Algebra

Please explain in detail so I know for next time. Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 62.25 degrees. Find the measures of the angles. What is the measure of the …
5. ### algebra

Two angles are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. Find the measures of the angles: What is the measure of the smaller angle?
6. ### Math

Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 87.75 degrees. Find the measures of the angles?
7. ### math

I posted this early, I don't understand, Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 87.75 degrees. Find the measures of the angles?
8. ### Algebra 1a

I posted this early, I don't understand the answer, Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 87.75 degrees. Find the measures of the angles?
9. ### Math

Two angles supplementary. One angle is 4degreesĀ° less thanless than three times the other. Find the measures of the angles. What is the measure of the smaller​ angle?
10. ### Algebra

Two angles are supplementary if their sum is 180 degrees the larger angle measures 6 degrees more than twice the measure of the smaller angle if x represents the measure of the smaller angle and these two angles angles are supplementary …

More Similar Questions