Question

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 5(m∠Y) −240°. Find m∠Y.


The value of m∠Y is

Answer 1

9514 1404 393

Answer:

  ∠Y = 55°

Step-by-step explanation:

Complementary angles have a sum of 90°.

  ∠S + ∠Y = 90°

  (5∠Y -240°) +∠Y = 90°

  6∠Y = 330° . . . . . . . . . . . . add 240°, collect terms

  ∠Y = 55° . . . . . . . . . divide by 6