Question

if in figure PQ parallel to Rs find the value of x

Answer 1

Hii..

➡️ Answer is in attachment.

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Answer 2

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°