Question

In the following figure, l || m and a line t intersects these lines at P and Q, respectively. Find the sum 2a + b.

Answer 1

From the above figure, we can say that

∠AQB = ∠FQP  ...[Vertically opposite angles]

⇒ b = 132°

Since, l, m are parallel lines and t is transversal.

Therefore, ∠EPD = ∠PQF  ...[Corresponding angles]

⇒ a = 132°

Now, 2a + b = 2 × 132° + 132°

= 264° + 132°

= 396°