Glencoe Math: Course 2, Volume 2
GM
Glencoe Math: Course 2, Volume 2 View details
Chapter Review

Exercise 2 Page 605

What is the sum of the measures of two complementary angles?

m∠ Y=55^(∘)

Practice makes perfect

We have been given a pair of complementary angles Y and Z. We know that the measure of Z is 35^(∘). Let's take a look at a graph representing this situation.

Since the angles are complementary, we know that the sum of their measures should equal 90^(∘). We can solve for measure of Y by creating an equation using the measures of the two smaller angles and their sum.

m∠ Y + m∠ Z = 90
m∠ Y + 35=90
m∠ Y =55

We found that the measure of ∠ Y equals 55^(∘).