Question

5 what is the measure of angle 2? * (10 points) 42 54 46 100

Explanation:

Step1: Find the measure of angle 1

Using the angle - sum property of a triangle (\( \angle1+46^{\circ}+80^{\circ}=180^{\circ}\)).

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Step2: Find the measure of angle 3

Since \( \angle3+80^{\circ}=180^{\circ}\) (linear - pair of angles), then \( \angle3 = 100^{\circ}\).

Step3: Find the measure of angle 2

Using the angle - sum property of the right - hand triangle (\( \angle2+38^{\circ}+\angle3=180^{\circ}\)). Substitute \( \angle3 = 100^{\circ}\)

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Answer:

42