Question

Find the value of a and m∠ZWT if ZW is an

altitude of △XYZ, m∠ZWT = 3a + 5, and T m∠TWY = 5a + 13.

Answer 1

If ZW is an altitude of △XYZ, then m∠ZWY = 90°

3a + 5 + 5a + 13 = 90
8a + 18 = 90
8a = 72
a = 72/8
a = 9

m∠ZWT = 3a + 5 = 3*9 + 5 = 27 + 5 = 32°