Question

Angle 1 and angle 2 are supplementary angles. The measure of angle 1 is 4y + 7, and the measure of angle 2 is 9y +4. What is the measure of angle 2?

Answer 1

Two angles are supplementary if their measures add up to 180 degrees. Therefore, we have the equation 4y + 7 + 9y + 4 = 180. We can combine like terms to get 13y + 11 = 180. Then we can subtract 11 from both sides to get 13y = 169. Finally, we divide both sides by 13 to find y = 13. Plugging this value back into the expression for angle 2, we find that the measure of angle 2 is 9(13) + 4 = 121 + 4 = <<9*13+4=121+4=125>>125 degrees. Answer: \boxed{125}.