Question

In the below figure, PQ||RS, then find the value of x.

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Answer 1

Step-by-step explanation:

first we draw another line passing through x lets say it is MN||PQ||RS.

Now we have MN||PQ with QD(lets say MN intersects the∠x at D) so

∠PQD=∠QDN(alternate angles)

again we will now look onto the other side we get MN||RS with SD as the transversal. Similarly,we can say

∠RSD=∠SDN(alternate angles)

now we can observe

x=∠QDN+∠SDN

putting in values we get

x=30°+40°

x=70°

so the value pf x is 70°.