Questions: What is the measure of angle 1? a) 20° b) 70° c) 110° d) 160°

What is the measure of angle 1? a) 20° b) 70° c) 110° d) 160°
Transcript text: What is the measure of $\angle 1$ ? a) $20^{\circ}$ b) $70^{\circ}$ c) $110^{\circ}$ d) $160^{\circ}$
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Solution

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Solution Steps

Step 1: Identify the given angles

The problem provides two intersecting lines with angles labeled. One angle is given as 20°.

Step 2: Recognize the relationship between angles

The angles formed by two intersecting lines are vertical angles, which are equal. Therefore, the angle opposite the 20° angle is also 20°.

Step 3: Calculate the measure of angle 1

Since the angles on a straight line sum up to 180°, angle 1 and the 20° angle are supplementary. Therefore, we can calculate angle 1 as follows: \[ \text{Angle 1} = 180° - 20° = 160° \]

Final Answer

The measure of angle 1 is 160°.

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