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

Answer:

Option 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 $75\°$

Step-by-step explanation:

we know that

$105\°=m<2$ ------> by alternate exterior angles

and

$m<1+m<2=180\°$ ----> by supplementary angles

Substitute the value of angle 2 and find the value of angle 1

$m<1+105\°=180\°$

$m<1=180\°-105\°=75\°$

therefore

the answer is the option A

Answer 2

Answer:

A

Step-by-step explanation:

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