Question

question 3 (1 point)
find each measure.

m∠3
a 97
b 39
c 62
d 83

Explanation:

Step1: Find the measure of ∠1

The sum of angles in a triangle is \(180^{\circ}\).
For the left - hand triangle, \(\angle1=180^{\circ}-56^{\circ}-27^{\circ}\)

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Step2: Use the property of vertical angles

\(\angle1\) and \(\angle2\) are vertical angles. So \(\angle2=\angle1 = 97^{\circ}\)

Step3: Find the measure of ∠3

For the right - hand triangle, using the angle - sum property of a triangle (\(180^{\circ}\))
\(\angle3=180^{\circ}-\angle2 - 21^{\circ}\)
Substitute \(\angle2 = 97^{\circ}\)

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Answer:

C. 62