In the figure, AB is parallel to CD. A transversal meets AB at P and CD at Q. Angle APQ = $4 x$ and angle PQD = $5 x$ are co-interior angles.
Find the measure of angle PQD.

Question

In the figure, AB is parallel to CD. A transversal meets AB at P and CD at Q. Angle APQ = 4x and angle PQD = 5x are co-interior angles. Find the measure of angle PQD.

Accepted Answer

100. Co-interior supplementary: 4x + 5x = 180, 9x = 180, x = 20. Angle PQD = 5(20) = 100°.

In the figure, AB is parallel to CD. A transversal meets AB at P and CD at Q. Angle APQ = $4 x$ and angle PQD = $5 x$ are co-interior angles.
Find the measure of angle PQD.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Transversal and Parallel Lines practice

In the figure, AB is parallel to CD. A transversal meets AB at P and CD at Q. Angle APQ = 4x and angle PQD = 5x are co-interior angles.Find the measure of angle PQD.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Transversal and Parallel Lines practice

In the figure, AB is parallel to CD. A transversal meets AB at P and CD at Q. Angle APQ = $4 x$ and angle PQD = $5 x$ are co-interior angles.
Find the measure of angle PQD.