Question

Someone please me with this ASAP

Answer 1

∠1= 109°, ∠2=71°, ∠3=109°, ∠4=71°

Explanation:

Angles 4 and 2 are vertical angles therefore are congruent and have equal measure; because is given m∠4=71° then m∠2 = 71°

Angle 4 and 3 are a linear pair so m∠4+m∠3 =180° so m∠3 = 180 -71 =109°

Angles 1 and 3 are vertical angles therefore are congruent and have equal measure; because we found that m∠3=109° then m∠1 = 109°

Answer 2

1 - 109 degrees

2- 71 degrees

3 - 109 degrees

Explanation:

Opposite angles are equivalent.

A straight angle is 180 degrees. Subtract 71 from 180 and you'd get 109. Therefore, the Angle 1 is 109 degrees.

Since Angle 3 is the opposite of Angle 1, they are equivalent.

Angle 2 is the opposite of Angle 4, so they are equivalent as well!