Question

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

A.The 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. Angles 1 and 2 are supplementary angles so angle 1 must measure 75°.
B.The 105° angle and angle 2 are corresponding angles so angle 2 must measure 105°. Angles 1 and 2 are supplementary angles so angle 1 must measure 75°.
C.The 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 75°. Angles 1 and 2 are supplementary angles so angle 1 must measure 105°.
D.The 105° angle and angle 2 are corresponding angles so angle 2 must measure 75°. Angles 1 and 2 are supplementary angles so angle 1 must measure 105°.

Answer 1

A

Explanation:

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Answer 2

(A) if 105° angle and angle 2 are alternate exterior angle, angle 2 must measure 105°. angle 1 and 2 are supplementary angles, the angle 1 must measure 75°

(B) if 105° angle and angle 2 are corresponding angles, angle 2 must measure 105°. angle 1 and 2 are supplementary angles, the angle 1 must measure 75°

Explanation:

A. supplementary angle are angles on a straight line which measure 180°

Hence, angle 1 + 105° = 180°

thus, angle 1 = 180° - 105° = 75°

(B) the calculation at A. above is applicable to B.