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