Question

Two parallel lines are cut by a transversal as shown below.

Suppose =m∠7107°. Find m∠1 and m∠4.

Answer 1

Answer: ∠1 = 107° and ∠4 = 73°

Explanation:

Using the knowledge that corresponding and vertical angles are congruent to each other, we know that ∠7 is equal to ∠3 (corresponding angles) which is equal to ∠1 (vertical angles). This means that ∠1 = 107°.

Next, ∠1 and ∠4 are supplementary angles. This means that when added together, they equal 180 degrees. 180° - 107° = 73°, so ∠4 = 73°.