Question

Suppose you know that ∠S and ∠Y are complementary and that m∠S = 5(m∠Y) − 210°. Find m∠Y.

Answer 1

So the measure of angle Y is 50 degrees.

Explanation:

By definition, complementary angles add up to 90 degrees. So we can set up the equation:

m∠S + m∠Y = 90

We also know that m∠S = 5(m∠Y) - 210. Substituting this into the first equation, we get:

5(m∠Y) - 210 + m∠Y = 90

Combining like terms, we get:

6(m∠Y) - 210 = 90

Adding 210 to both sides, we get:

6(m∠Y) = 300

Dividing both sides by 6, we get:

m∠Y = 50

So the measure of angle Y is 50 degrees.