Two complementary angles have degree measures p and 3p - 6?

Answer 1

Complementery angles are two angles whose sum is 90 degrees. Hence, we know that p + 3p - 6 = 90. To solve for p, isolate the unknown number (p) by adding 6 to each side of the equation and simplifying: p + 3p - 6 + 6 = 90 + 6 which is now 4p = 96. Divide both sides by 4 to find the value of p: 4p / 4 = 96 / 4 which is now p = 24. Now solve: Angle p = 24 degrees. Angle 3p - 6 = (24 x 3 ) - 6 = 72 - 6 = 66 degrees. PROOF: 66 + 24 = 90