Question

question 7 (3 points)
∠1 and ∠2 are complementary angles. given the measure of ∠1, find m∠2. (hint: option, k will give you the degree symbol)
a) m∠1 = 52°, m∠2 = _____
b) m∠1 = 76°, m∠2 = _____
c) m∠1 = 19°, m∠2 = _____
blank 1:
blank 2:
blank 3:

Explanation:

Step1: Recall complementary - angle property

Complementary angles add up to 90°. So, $m\angle2 = 90^{\circ}-m\angle1$.

Step2: Solve for part a

Given $m\angle1 = 52^{\circ}$, then $m\angle2=90^{\circ}- 52^{\circ}=38^{\circ}$.

Step3: Solve for part b

Given $m\angle1 = 76^{\circ}$, then $m\angle2=90^{\circ}-76^{\circ}=14^{\circ}$.

Step4: Solve for part c

Given $m\angle1 = 19^{\circ}$, then $m\angle2=90^{\circ}-19^{\circ}=71^{\circ}$.

Answer:

Blank 1: $38^{\circ}$
Blank 2: $14^{\circ}$
Blank 3: $71^{\circ}$