Figure given above shows a pair of parallel lines cut by a transversal. For given case, find a and b, giving reasons.

Question

Figure given above shows a pair of parallel lines by a transversal- For given case- a and b- giving reasons-

Toppr Admin · Accepted Answer

Given-l -parallel m- and -p- intersects them-b - 60-circ - 180-circ- -Linear pair-b - 180-circ - 60-circ-We get-b - 120-circ-and -a - 60-circ- -corresponding angles-Hence- -a - 60-circ-b - 120-circ-

Figure given above shows a pair of parallel lines cut by a transversal. For given case, find a and b, giving reasons.

Given$$l \parallel m$$ and $$p$$ intersects them$$b + 60^\circ = 180^\circ$$ [Linear pair]$$b = 180^\circ - 60^\circ$$We get,$$b = 120^\circ$$and $$a = 60^\circ$$ (corresponding angles)Hence, $$a = 60^\circ$$$$b = 120^\circ$$

Given
$$l \parallel m$$ and $$p$$ intersects them
$$b + 60^\circ = 180^\circ$$ [Linear pair]
$$b = 180^\circ - 60^\circ$$
We get,
$$b = 120^\circ$$
and $$a = 60^\circ$$ (corresponding angles)
Hence, $$a = 60^\circ$$
$$b = 120^\circ$$