In the figure, AB || CD. The transversal makes angle $1 = 3 x$ deg and angle $2 = 2 x$ deg, where angle 1 and angle 2 are co-interior angles.
Find angle 1 (deg).

Question

In the figure, AB || CD. The transversal makes angle 1 = 3x deg and angle 2 = 2x deg, where angle 1 and angle 2 are co-interior angles. Find angle 1 (deg).

Accepted Answer

108. Co-interior angles sum to 180: 3x + 2x = 180, 5x = 180, x = 36. Angle 1 = 3(36) = 108°.

In the figure, AB || CD. The transversal makes angle $1 = 3 x$ deg and angle $2 = 2 x$ deg, where angle 1 and angle 2 are co-interior angles.
Find angle 1 (deg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

In the figure, AB || CD. The transversal makes angle 1=3x deg and angle 2=2x deg, where angle 1 and angle 2 are co-interior angles.Find angle 1 (deg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Parallel Lines and a Transversal practice

In the figure, AB || CD. The transversal makes angle $1 = 3 x$ deg and angle $2 = 2 x$ deg, where angle 1 and angle 2 are co-interior angles.
Find angle 1 (deg).