Question

In the figure, lines a and b are parallel. Which statements are true? Select all that apply.

m∠2=105°
m∠3=m∠1
m∠2=m∠1
m∠1=75°

Answer 1

well a line is a 180 so to get angle one it would be 180 subtracted by 105 the answer would be 75 degrees making the fourth one correct but also the third one because angle one and angle two are in the same placement 

Answer 2

(C) m∠2=m∠1

(D) m∠1=75°

Explanation:

From the given statement, we have a line a is parallel to line b and m is the transversal.

Thus, using the property of straight line, we get

`{\angle}1+105^(\circ)=180^(\circ)`

⇒
`{\angle}1=75^(\circ)`

Now, since
`{\angle}1` and
`{\angle}2` are the corresponding angles, thus are congruent.

Hence,
`{\angle}1={\angle}2=75^(\circ)`

Again, using the straight line property, we get

`{\angle}2+{\angle}3=180^(\circ)`

`{\angle}3=75^(\circ)`

Therefore, option (C) and (D) are correct.