Mathematics

Grade9

Easy

Question

Identify the pair of parallel lines.

DE and BC
AB and DE
AB and CD
CD and DE

hint Hint:

In this question we have to find the pair of parallel lines, here we will use the reverse theorem. APQ, three angles are given equal so we will look at the angles that can be used to relate the lines. By observing we get that $angle$ ABC and $angle$ BCD are alternate interior angles and are equal. Now we can easily identify the parallel lines in the given figure.

The correct answer is: AB and CD

The pair of parallel lines are AB and CD.

APQ,
$angle$ ABC= $angle$ BCD= 55 $degree$
So from reverse theorem of alternate interior angle we can say that AB is parallel to CD and BC is the transversal.

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Identify the pair of parallel lines.

DE and BCAB and DEAB and CDCD and DE

The correct answer is: AB and CD

The pair of parallel lines are AB and CD.APQ,ABC=BCD= 55So from reverse theorem of alternate interior angle we can say that AB is parallel to CD and BC is the transversal.

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DE and BC
AB and DE
AB and CD
CD and DE

The pair of parallel lines are AB and CD.

APQ,
$angle$ ABC= $angle$ BCD= 55 $degree$
So from reverse theorem of alternate interior angle we can say that AB is parallel to CD and BC is the transversal.

The measure of $angle B C D$ is _________.

The measure of $angle B C D$ is _________.

How are $angle H K N$ and $angle A B E$ related to each other?

How are $angle H K N$ and $angle A B E$ related to each other?

Find $angle D A C$ .

Find $angle D A C$ .

The angles $angle D W B$ and $angle T Z R$ are ________.

The angles $angle D W B$ and $angle T Z R$ are ________.