Question

In the given figure l || m. Find the values

of a, b and c.​

Answer 1

Answer:

If l is parallel to m, then ∠a = 45°, ∠c = 55°, and ∠b = 180 - (a + b)°

= 180 - (45 + 55)° = (180 - 100)° = 80°

∠a = 45°

∠b = 80°

∠c = 55°

Answer 2

Answer:

Explanation:

We have l || m

∠a = 45° (Alternate interior angles)

∠c = 55° (Alternate interior angles)

∠a + ∠b + ∠c = 180° (Sum of adjacent angles on straight line)

⇒ 45 + ∠b + 55 = 180°

⇒ ∠b + 100 = 180°

⇒ ∠b = 180° – 100°

⇒ ∠b = 80°