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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°.

Which correctly describes how to determine the measure of angle 1Which correctly describes how to determine the measure of angle 1 AThe 105 angle and angle 2 ar class=

Respuesta :

calculista

Answer:

Option A

The [tex]105\°[/tex] angle and angle 2 are alternate exterior angles so angle 2 must measure [tex]105\°[/tex]. Angles 1 and 2 are supplementary angles so angle 1 must measure [tex]75\°[/tex]

Step-by-step explanation:

we know that

[tex]105\°=m<2[/tex] ------> by alternate exterior angles

and

[tex]m<1+m<2=180\°[/tex] ----> by supplementary angles

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

[tex]m<1+105\°=180\°[/tex]

[tex]m<1=180\°-105\°=75\°[/tex]

therefore

the answer is the option A

Answer:

A

Step-by-step explanation:

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