Question

in the figure below, m ∠ 4 = 84°. find m ∠ 1, m ∠ 2, and m ∠ 3.

Explanation:

Step1: Find $m\angle1$ (supplementary to $\angle4$)

$$\begin{align*} m\angle1 &= 180^\circ - m\angle4 \\ &= 180^\circ - 84^\circ \\ &= 96^\circ \end{align*}$$

Step2: Find $m\angle2$ (vertical to $\angle4$)

$m\angle2 = m\angle4 = 84^\circ$

Step3: Find $m\angle3$ (vertical to $\angle1$)

$m\angle3 = m\angle1 = 96^\circ$

Answer:

$m\angle1 = 96^\circ$
$m\angle2 = 84^\circ$
$m\angle3 = 96^\circ$