Question

lines m and n are parallel. find the measure of ∠a. m n 107° m∠a = ?°

Explanation:

Step1: Identify consecutive interior angles

The 107° angle and ∠a are consecutive interior angles formed by a transversal cutting parallel lines M and N.

Step2: Apply consecutive interior angles theorem

Consecutive interior angles are supplementary, so $m\angle a + 107^\circ = 180^\circ$.

Step3: Calculate ∠a

$m\angle a = 180^\circ - 107^\circ = 73^\circ$

Answer:

73°