Angles A and B are supplementary. If A = 8x - 27 and B = 4x + 3, then find the measure of angle A.
The answer is 109. We know that a supplementary angles are two angles that add up to 180, and A and B follow this rule. This means, 8x - 27 + 4x + 3 = 180. Adding like terms, we get 12x - 24 = 180, 12x = 204, and finally, x = 17. But the problem is asking for the degree measure of angle A, so, 8*17 - 27 = 109.