Question

in the figure below, m ∠1 = 39°. find m ∠2, m ∠3, and m ∠4.

Explanation:

Step1: Find m∠2 (vertical angles)

Vertical angles are equal, so $m\angle2 = m\angle1 = 39^\circ$.

Step2: Find m∠3 (linear pair with ∠1)

Linear pair sums to $180^\circ$, so $m\angle3 = 180^\circ - 39^\circ = 141^\circ$.

Step3: Find m∠4 (vertical angles with ∠3)

Vertical angles are equal, so $m\angle4 = m\angle3 = 141^\circ$.

Answer:

$m\angle2 = 39^\circ$, $m\angle3 = 141^\circ$, $m\angle4 = 141^\circ$