Question

2 multiple choice 1 point in which figure is the measure of ∠1 equal to 45°?

Explanation:

Step1: Analyze first figure

In the first figure, the angle adjacent to ∠1 is 45° and they form a right - angle. So, ∠1=90° - 45° = 45°.

Step2: Analyze second figure

In the second figure, ∠1 is supplementary to two 45° angles. ∠1=180°-(45° + 45°)=90°.

Step3: Analyze third figure

In the third figure, using the property of corresponding or alternate angles, we cannot directly get ∠1 = 45°. And given 145° angle, it is not related to making ∠1 = 45°.

Step4: Analyze fourth figure

In the fourth figure, using vertical - angle and supplementary - angle properties, with a 145° angle given, ∠1 is supplementary to an angle related to the 145° angle, and ∠1≠45°.

Answer:

The first figure.