Question

what is the m∠4? m∠4 = 61° m∠4 = 71° m∠4 = 119° m∠4 = 51°

Explanation:

Step1: Identify angle - pair relationship

$\angle6$ and the given $119^{\circ}$ angle are vertical angles, so $\angle6=119^{\circ}$.

Step2: Use linear - pair property

$\angle6$ and $\angle3$ form a linear pair. So $m\angle6 + m\angle3=180^{\circ}$. Then $m\angle3=180 - 119=61^{\circ}$.

Step3: Use vertical - angle property

$\angle4$ and $\angle3$ are vertical angles. Since vertical angles are congruent, $m\angle4 = m\angle3 = 61^{\circ}$.

Answer:

A. $m\angle4 = 61^{\circ}$