The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statements are true? Check all that apply. 1. ∠A and ∠G are alternate interior angles.

2. ∠A, ∠F, and ∠E form a straight line.

3. ∠H and ∠A are corresponding angles.

4. ∠E and ∠C are vertical angles.

5. m∠G = m∠E

6. m∠F = m∠C

Ignore the other answer, it's 2, 3, 5, 6.

Proof below:

what is all that apply?

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°