Alternate Exterior Angles: in Parallel Lines
How to solve the alternate exterior angles in parallel lines: formula, 1 example, and its solution.
Alternate Exterior Angles
By two lines and a transversal,
two pairs of alternate exterior angles are formed.
∠1 and ∠1'
∠2 and ∠2'
Formula
Alternate exterior angles in parallel lines
are congruent.
m∠1 = m∠1'
m∠2 = m∠2'
Example
Solution
Solution (Detail)
The given angles are
alternate exterior angles in parallel lines.
So the given angles are congruent.
So [8x + 10] = [74].
Move +10 to the right side.
Then 8x = 64.
Divide both sides by 8.
Then x = 8.
So x = 8.