Question

In the figure given, l, m and n are parallel lines, and the lines p and q are also parallel. Find the values of a, b and c.

Answer 1

Since, lines l, n are parallel and q is transversal.

Therefore, 6a = 120°  ......[Corresponding angles]

⇒ a = `120^circ/6`

⇒ a = 20° 

Also, lines p, q are parallel and n is transversal

Therefore, 4c = 120°  ......[Corresponding angles]

⇒ c = `120^circ/4`

⇒ c = 30°

Again, lines m, n are parallel and p is transversal

Therefore, 4c = 3b  ......[Corresponding angles]

⇒ b = `(4c)/3`

⇒ b = `(4 xx 30^circ)/3`

⇒ b = 40°