In the figure PQ Parallel RS find the value of X
Answers
The value of x is 83° .
Step-by-step explanation:
In the attached figure below, the two parallel lines PQ and RS are extended from Q to M and S to N respectively.
we also draw a line parallel to PQ and RS from T to O.
Now, in the given figure,
angle∠ MPT = 180° - 135° = 45°
Line MQ and OT are parallel and a transversal line PT cut these line
then, angle ∠MPT =∠ PTO = 45°
similarly, angle ∠TRN = 180° - 142° = 38°
Line NS and OT are parallel and a transversal line TR cut these lines
then, angle ∠TRN = ∠OTR = 38°
in the figure angle ∠PTO + ∠OTR = x
∴ x = 45° + 38°
x = 83°
Answer:
Now, in the given figure,
angle∠ MPT = 180° - 135° = 45°
Line MQ and OT are parallel and a transversal line PT cut these line
then, angle ∠MPT =∠ PTO = 45°
similarly, angle ∠TRN = 180° - 142° = 38°
Line NS and OT are parallel and a transversal line TR cut these lines
then, angle ∠TRN = ∠OTR = 38°
in the figure angle ∠PTO + ∠OTR = x
∴ x = 45° + 38°
x = 83°