Question

I need help with this question please

 
Supposed you know that Ls and LY are complementary, and that mLS=3(mLY)-90°

The value of mLY is

Someone help me with this question!!

Answer 1

9514 1404 393

Answer:

∠Y = 45°

Explanation:

The sum of complementary angles is 90°.

∠Y + ∠S = 90°

∠Y + (3(∠y) -90°) = 90°

4∠Y = 180° . . . . . . . . . . . . add 90°, collect terms

∠Y = 45° . . . . . . . . . divide by 4

The measure of angle Y is 45°.