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in Lines and Angles by (49.9k points)
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In the given figure, l || m and a line t intersects these lines at P and Q, respectively. Find the sum 2a + b.

1 Answer

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Best answer

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 x 132° + 132°

= 264° + 132°

= 396°

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