Question

question 1 (1 point)
∠1 and ∠2 are complementary angles and ∠2 and ∠3 are supplementary angles. given the measure of ∠1, determine the m∠2 and m∠3
m∠1 = 69.5°
m∠2 =
______
m∠3 =
______

blank 1:

blank 2:

Explanation:

Step1: Find measure of ∠2

Since ∠1 and ∠2 are complementary, and complementary angles sum to 90°. So $m\angle2=90^{\circ}-m\angle1$.
Substitute $m\angle1 = 69.5^{\circ}$ into the formula: $m\angle2=90 - 69.5=20.5^{\circ}$.

Step2: Find measure of ∠3

Since ∠2 and ∠3 are supplementary, and supplementary angles sum to 180°. So $m\angle3 = 180^{\circ}-m\angle2$.
Substitute $m\angle2 = 20.5^{\circ}$ into the formula: $m\angle3=180 - 20.5 = 159.5^{\circ}$.

Answer:

Blank 1: 20.5
Blank 2: 159.5