Question

In figure, AB||EF, ED||CB and angle APE is 39°. Find angle CQF.​

PLEASE ANSWER FAST.

Answer 1

Answer:

Step-by-step explanation:

As ED║CB, so

∠APE = ∠PBQ = 39°  (corresponding angles)

Now, as AB║EF , so

∠PBQ + ∠BQE = 180°  (interior angles on the same side)

39° + ∠BQE = 180°

⇒ ∠BQE = 180° - 39°

⇒ ∠BQE = 141°

Now, ∠BQE = ∠CQF = 141°

Hence , ∠CQF = 141°

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Answer 2

Answer

, ∠CQF = 141°

Step-by-step explanation:

As ED║CB, so

∠APE = ∠PBQ = 39°  (corresponding angles)

Now, as AB║EF , so

∠PBQ + ∠BQE = 180°  (interior angles on the same side)

39° + ∠BQE = 180°

⇒ ∠BQE = 180° - 39°

⇒ ∠BQE = 141°

Now, ∠BQE = ∠CQF = 141°

Hence , ∠CQF = 141°

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