Question

(Pictures included, pls help)

Carlos draws a transversal, t, on two parallel lines AB and CD, as shown below:

He makes the following table to prove that the alternate interior angles are equal:

Which is The missing justification?

A) Opposite Interior Angles Are congruent when parallel lines are intersecting by a transversal

B) Vertical Angles Formed By Two Intersecting Segments Are Congruent

C) Adjacent Angles Formed By Two Interesting Segments Are Supplementary

D) Opposite Exterior Angles Are Congruent When Parallel Lines Are Intersected By A transversal​

Answer 1

B.

Explanation:

When you intersect two lines, the angles opposite by the intersection vertex has the same measure. Generally, Those angles are called vertical angles.

In the figure, we have that angle 1 and angle 3 are vertical angles, then both have the same measure. So, the correct option is B) Vertical Angles Formed By Two Intersecting Segments Are Congruent.

Answer 2

Option B

Explanation:

When two intersecting lines cut each other they form four angles. these two pair of angles are called opposite angles or vertical angles. The vertical angles formed by two intersecting segments are equal.

Thus option B is correct: The vertical Angles Formed By Two Intersecting Segments Are Congruent !