At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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


Sagot :

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