Question

Lines b and c are parallel.

Which of the following angles are congruent to ∠4? Select all that apply.
1
7
8
2

Answer 1

1 and 8 are the ones you should choose.

Explanation:

Answer 2

Answer: ∠1 and ∠8

Explanation:

Given : Line b is parallel to line c .

In the given figure , a traversal line is passing through line b and c.

∠2=120°

Then , ∠1 +∠2=180° [linear pair]

⇒ ∠1=180°-120°=60°

Now, ∠4 and ∠1 are vertical angles.

Since vertical angles are congruent.

∴ we have , ∠4 ≅ ∠1 =60°

Also, ∠4 and ∠8 are corresponding angles and corresponding angles are congruent.

∴ we have , ∠4 ≅ 8 =60°

∠2 cannot be congruent to ∠4, since both have different measures

∠7 cannot be congruent to ∠4, since ∠7 is congruent to ∠2 (Alternate exterior angles)