Question

in the given figure, PQ||RS, Find the value of x.​

Answer 1

Answer:

The measure of angle x is 240°

Step-by-step explanation:

Given the figure in which measure of ∠PQO=55° and ∠RSO=65°

we have to find the angle x

Since ∠PQO and ∠1 are alternate interior angles therefore have same measure

⇒ ∠1=∠PQO=55°

Also, ∠RSO and ∠2 are alternate interior angles therefore have same measure

⇒ ∠2=∠RSO=65°

By theorem angle around a point is 360°

∴ ∠1+∠2+x=360°

55°+65°+x=360°

120°+x=360°

x=360°-120°=240°

Hence, the measure of angle x is 240