Mathematics

# 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.

##### SOLUTION
$(a)$ Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines.
$line \ n$ is a transversal to lines $l$ and $m$
So, $\angle ARQ$ is relatively opposite to angle $PQR$ with respect to transversal $n$.
$\therefore \angle ARQ$ is angle alternate to $\angle PQR$

$(b)$ Corresponding angles are the angles which occupy the same relative position at each intersection where a straight line crosses two others.
$line \ n$ is a transversal that is it crosses lines $l$ and $m$
So, $\angle BRA$ is at relatively same position to angle $RQF$ with respect to transversal $n$.
$\therefore \angle BRA$ is angle alternate to $\angle RQF$

$(a)$ Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines.
$line \ n$ is a transversal to lines $l$ and $m$
So, $\angle BRA$ is relatively opposite to angle $PQE$ with respect to transversal $n$.
$\therefore \angle BRA$ is angle alternate to $\angle PQE$

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Subjective Medium Published on 09th 09, 2020
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