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