Question

In the given figure, PA || BC || DT and AB || DC. Then, the values of a and b are respectively.

पर्याय

• 60°, 120°

• 50°, 130°

• 70°, 110°

• 80°, 100°

Answer 1

50°, 130°

Explanation:

Since, PA || BC and AB is a transversal.

∴ ∠PAB = ∠ABC ......[Alternate interior angles]

⇒ 50° = a

Now, AB || DC and BC is a transversal.

∴ ∠ABC + ∠BCD = 180° ......[Co-interior angles]

⇒ 50° + ∠BCD = 180°

⇒ ∠BCD = 180° – 50° = 130°

Also, BC || DT and DC is a transversal.

∴ ∠BCD = ∠CDT  ......[Alternate interior angles]

⇒ 130° = b

Thus, a = 50° and b = 130°