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Parallel Lines with Transversal

In the given ...

Question

In the given figure, $l i n e l ∥ l i n e m$ , $l i n e$ $n$ is a transversal. Write one pair of corresponding angles and one pair of alternate interior angles.

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Solution

In the given pair of parallel lines, one pair of corresponding angles is:
$∠ a$ and $∠ e$

Also, one pair of alternate interior angles is:
$∠ d$ and $∠ f$

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Similar questions

Q. In Fig. 15.17, line n is a transversal to lines l and m. Identify the following

(i) Alternate and corresponding angles in Fig. 15.17 (i).
(ii) Angles alternate of ∠d and ∠g and angles corresponding to angles ∠f and ∠h in Fig. 15.17 (ii).
(iii) Angle alternative to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. 15.17 (iii).
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. 15.17 (ii).

Q. In Fig., line n is a transversal to lines l and m. Identify the following:

(i) Alternate and corresponding angles in Fig. (i).
(ii) Angles alternate to ∠d and ∠g and angles corresponding to angles ∠f and ∠h in Fig. (ii).
(iii) Angle alternate to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. (iii).
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. (ii).

Q. Observe the angles shown in the figure and write the following pair of angles.

(1) Interior alternate angles
(2) Corresponding angles
(3) Interior angles

Q. Observe the angels shown in the figure and write the following pair of angles.

(i) Interior alternate angles
(ii) Corresponding angles
(iii) Interior angles

In the adjoining figure, identify

(i) The pairs of corresponding angles

(ii) The pairs of alternate interior angles

(iii) The pairs of interior angles on the same side of the transversal

(iv) The vertically opposite angles

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Summary

MATHEMATICS

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Parallel Lines with Transversal

Standard IX Mathematics