Vertical Angles

How to solve the angles that are vertical angles (opposite angles): formula, 1 example, and its solution.

Formula

Formula

Vertical angles (opposite angles) are a pair of angles
that are formed by two lines that meet at a point,
and that are not adjacent.

∠1 and ∠1' are vertical angles.
∠2 and ∠2' are vertical angles.

Vertical angles are congruent.
So m∠1 = m∠1'
and m∠2 = m∠2'.

Example

Example

Solution

The given angles are vertical angles.

So [6x - 10] = [56].

Move -10 to the right side.

Then 6x = 66.

Divide both sides by 6.

Then x = 11.

So x = 11 is the answer.