For example, if ∠a, ∠b,.

Why are vertical angles congruent. Vertical angles are angles in opposite corners of intersecting lines. Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. Why vertical angles are congruent.

A pair of vertically opposite angles are always equal to each other. The vertical angles are of equal measurements. Since the angles formed are vertically opposite to each other, then by vertical angle theorem, 65° = 2x + 15°.

So vertical angles always share the same vertex, or corner point of the angle. Vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. Two intersecting lines form two pair of congruent vertical angles.

The vertical angles are of equal measurements. An example of congruent angles which are not vertical. If lines are parallel, the angles are equal.

Congruent angles are two or more angles that are identical to each other. M ∠ x in digram 1 is 157 ∘ since its vertical angle is 157 ∘. The 155 degree angle pairs up with the angle directly.

In picture 2, ∠ 1 and ∠ 2 are vertical angles. The angles are not across the intersection from each other, but vertical angles can still be used to find the unknown angle. Let us look at some solved.