Question

In the figure lines l and m are parallel lines cut by transverse p ​

Answer 1

m∠2 = m∠3 because Corresponding angles are congruent ⇒ C

Explanation:

In the given figure

∵ Line l and line m are parallel

∵ Line p is the transversal

∵ ∠2 is over the line l

∵ ∠3 is over the line m

∵ ∠2 and ∠3 are on the same side of the transversal p

∴ ∠2 and ∠3 are corresponding angles

∵ Corresponding angles are equal in measures

∴ m∠2 = m∠3

∵ m∠2 = 40°

∴ m∠3 = 40°

∴ m∠2 = m∠3 because corresponding angles are congruent

Answer 2

The correct answer is:

Option C: Corresponding angles are congruent.

Explanation:

Given that l and m are two parallel lines and the transversal p intersects them. When a transversal intersects two parallel lines, 8 angles are formed which are named based on their positions.

The angles which are on one side of the transversal and are in matching corners are called corresponding angles.

In the given diagram, ∠2 and ∠3 are in the matching corner so they are corresponding angles.

In case of parallel lines, corresponding angles are congruent.

So,

If Andrea is saying that ∠2 and ∠3 have same measurement then its correct because they are corresponding angles.

So,

The correct answer is:

Option C: Corresponding angles are congruent.