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Which correctly describes how to determine the measure of angle 1?

2 parallel lines are crossed by a transversal to form 8 angles. Clockwise from top left, the angles are 1, 2, blank, blank; blank 81 degrees, blank, blank.
The 81° angle and angle 2 are corresponding angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.
The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.
The 81° angle and angle 2 are corresponding angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.
The 81° angle and angle 2 are alternate interior angles so angle 2 must measure 99°. Angles 1 and 2 are supplementary angles so angle 1 must measure 81°.

Sagot :

guineveremain0153

Answer:

The correct statement that describes how to determine the measure of angle 1 is:

The 81° angle and angle 2 are corresponding angles so angle 2 must measure 81°. Angles 1 and 2 are supplementary angles so angle 1 must measure 99°.

Step-by-step explanation:

- Corresponding angles are angles that occupy the same relative position at each intersection where a straight line crosses two others. In this case, the 81° angle and angle 2 are corresponding angles, so angle 2 must measure 81°.

- Supplementary angles are two angles whose measures add up to 180 degrees. Since angles 1 and 2 are supplementary angles, and angle 2 is 81°, angle 1 must measure 99° to make the total 180°.

Therefore, based on the properties of corresponding angles and supplementary angles, the correct measure of angle 1 is 99°.

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