dma 040
posted by Anonymous .
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.

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.