Question

Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angles are congruent, then two lines are parallel. Vertical angles are always congruent. Vertical angles are supplementary if two lines are parallel.

Answer 1

Vertical angles are always congruent.

Explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.