Question

find the measure of the numbered angles in the parallelogram.
m∠1=□°
m∠2=□°
m∠3=□°

Explanation:

Step1: Find $\angle 2$ (triangle angle sum)

In the right triangle, $\angle 2 + 28^\circ + 125^\circ = 180^\circ$
$\angle 2 = 180^\circ - 125^\circ - 28^\circ = 27^\circ$

Step2: Find $\angle 1$ (parallel sides alternate angles)

Opposite sides of a parallelogram are parallel, so $\angle 1 = 28^\circ$

Step3: Find $\angle 3$ (parallel sides alternate angles)

Opposite sides of a parallelogram are parallel, so $\angle 3 = \angle 2 = 27^\circ$

Answer:

$m\angle 1 = 28^\circ$
$m\angle 2 = 27^\circ$
$m\angle 3 = 27^\circ$