Question

1. in the figure below, pq is parallel to rs and jk is parallel to mn. find the measure of d.

Explanation:

Step1: Use the property of corresponding angles

Since $pq\parallel rs$ and $jk\parallel mn$, the angle of $60^{\circ}$ and angle $g$ are corresponding angles. So $g = 60^{\circ}$.

Step2: Use the property of vertical - angles

Angle $g$ and angle $b$ are vertical - angles. So $b = g=60^{\circ}$.

Step3: Use the property of corresponding angles again

Angle $b$ and angle $d$ are corresponding angles. Since corresponding angles formed by parallel lines are equal, $d = b$.

Answer:

$60^{\circ}$