Question

question 10 (3 points) ∠1 and ∠2 are supplementary 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 supplementary - angle property

Supplementary angles add up to 180°. So, \(m\angle2 = 180^{\circ}-m\angle1\).

Step2: Solve for part a

Given \(m\angle1 = 52^{\circ}\), then \(m\angle2=180 - 52=128^{\circ}\).

Step3: Solve for part b

Given \(m\angle1 = 76^{\circ}\), then \(m\angle2=180 - 76 = 104^{\circ}\).

Step4: Solve for part c

Given \(m\angle1 = 19^{\circ}\), then \(m\angle2=180 - 19=161^{\circ}\).

Answer:

Blank 1: \(128^{\circ}\)
Blank 2: \(104^{\circ}\)
Blank 3: \(161^{\circ}\)