Therefore, ∠ 1 and ∠ 3 are both right angles. This means that their measure is 90.
Measure of ∠ 2
Notice that ∠ 1, ∠ 2, and the angle of measure 32 are three angles in a triangle. Therefore, by the Triangle Angle-Sum Theorem, their measures add up to 180.
m ∠ 1 + m ∠ 2 + 32 = 180
We already know that m ∠ 1 = 90. Let's substitute it in our equation.
90 + m ∠ 2 + 32 = 180 ⇕ m ∠ 2 = 58
The measure of ∠ 2 is 58.
