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In Fig., line $$n$$ is a transversal to lines $$l$$ and $$m$$. Identify the following:
Angle alternate to $$\angle PQR$$ and angle corresponding to angles $$\angle RQF$$ and angle alternate to $$\ \angle PQE$$ in Fig.
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Solution
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We know that the corresponding angles are the angles that occupy the same relative position at each intersection where a straight line crosses two others. Also, the alternate angles are two angles, formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on opposite relative sides of the other lines. Therefore, we have:
Angle alternate to $$∠PQR$$ is $$∠QRA$$.
Angle corresponding to $$∠RQF$$ is $$∠ARB$$.
Angle alternate to $$∠PQE$$ is $$∠ARB$$.
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Similar Questions
Q1
In Fig., line $$n$$ is a transversal to lines $$l$$ and $$m$$. Identify the following:
Angle alternate to $$\angle PQR$$ and angle corresponding to angles $$\angle RQF$$ and angle alternate to $$\ \angle PQE$$ in Fig.
Angle alternate to $$\angle PQR$$ and angle corresponding to angles $$\angle RQF$$ and angle alternate to $$\ \angle PQE$$ in Fig.
View Solution
Q2
In figure, line $$n$$ is a transversal to lines $$l$$ and $$m$$. Identify the following:
(a) angle alternate to $$\angle PQR$$,
(b)angle corresponding to $$\angle RQF$$ and
(c) angle alternate to $$\angle PQE$$ in figure.
View Solution
Q3
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).
(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).