Question

pre - algebra - section 9 - 3 angle relationships and parallel lines
example 2: find the measure of each angle.
find (mangle2), (mangle3), and (mangle4) if (mangle1 = 28^{circ}).
(mangle2=)
(mangle3=)
(mangle4=)

Explanation:

Step1: Vertical - angles are equal

$\angle1$ and $\angle3$ are vertical - angles. So, $m\angle3=m\angle1 = 28^{\circ}$

Step2: Supplementary - angles sum to 180°

$\angle1$ and $\angle2$ are supplementary. So, $m\angle2=180 - m\angle1=180 - 28=152^{\circ}$

Step3: Vertical - angles are equal

$\angle2$ and $\angle4$ are vertical - angles. So, $m\angle4=m\angle2 = 152^{\circ}$

Answer:

$m\angle2 = 152^{\circ}$, $m\angle3 = 28^{\circ}$, $m\angle4 = 152^{\circ}$