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  • Which of the following is true, for the figure given below. <div class='qna

Which of the following is true, for the figure given below.

Option: 1

∠ 1 and ∠ 5 are Corresponding angles


Option: 2

∠ 4 and ∠ 6 are Alternate interior angles


Option: 3

∠ 4 and ∠ 8 are Corresponding angles


Option: 4

All of the above


Answers (1)

best_answer

Transversal: A straight line which cuts two or more straight lines at distinct points is called a transversal.

Line t intersects lines AB and CD at points E and F respectively. Therefore, line T is a transversal for lines AB and CD. Observe that four angles are formed at each of the points E and F.

Let us name these angles as ∠ 1, ∠ 2, . . ., ∠8 as shown in the above figure.

Angle formed when a transversal cuts two lines

∠ 1, ∠ 2, ∠ 7 and ∠ 8 are called exterior angles, while ∠ 3, ∠ 4, ∠ 5 and ∠ 6 are called interior angles.

Corresponding angles :

(i) ∠ 1 and ∠ 5
(ii) ∠ 2 and ∠ 6
(iii) ∠ 4 and ∠ 8
(iv) ∠ 3 and ∠ 7
Posted by

Ritika Jonwal

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