Question 102In the given figure- 1 m and line t intersect these lines at P and Q respectively- Find the sum 2 a - b-

The correct option is From the above figure, we can say that ∠ AQB = ∠ FQP ⇒ b = 132^∘ Since l, m are parallel lines and t is transversal. Therefore, ∠ EPD ...

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Standard VII

Mathematics

Transversal of Parallel Lines

Question 102I...

Question

Question 102

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

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Solution

From the above figure, we can say that
$∠ A Q B = ∠ F Q P \Rightarrow b = 132^{\circ}$
Since l, m are parallel lines and t is transversal.
$T h e r e f o r e, ∠ E P D = ∠ P Q F \Rightarrow a = 132^{\circ}$
Now, $2 a + b = 2 \times 132^{\circ} + 132^{\circ} = 264^{\circ} + 132^{\circ} = 396^{\circ}$

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Question 102 In the given figure, l || m and line t intersect these lines at P and Q respectively. Find the sum 2a + b.

From the above figure, we can say that ∠AQB=∠FQP⇒b=132∘ Since l, m are parallel lines and t is transversal. Therefore, ∠EPD=∠PQF⇒a=132∘ Now, 2a+b=2×132∘+132∘=264∘+132∘=396∘

Question 102

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