Find m∠Ym∠Y if m∠Ym∠Y is six more than three times its complement.

Let x = m∠Y.

Complementary angles add up to 90°.

Therefore the complement of m∠Y = 90 - m∠Y, or 90 - x.

Because m∠Y is 6 more than 3 times (90 - m∠Y), therefore

x = 3 (90 - x) + 6

x = 270 - 3x + 6

4x = 276

x = 276/4 = 69

Answer: m∠Y = 69°