Question

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

Explanation:

Step1: Identify angle relationship

Since lines M and N are parallel, and the transversal creates a consecutive interior angle with \( \angle a \) and the \( 62^\circ \) angle. Consecutive interior angles are supplementary (sum to \( 180^\circ \)).

Step2: Calculate \( \angle a \)

Let \( m\angle a = x \). Then \( x + 62^\circ = 180^\circ \). Solving for \( x \), we get \( x = 180^\circ - 62^\circ \).
\( x = 118^\circ \)

Answer:

\( 118^\circ \)