In the fig four line segments PQ ,QR,RS and ST are making
the letter WPQ|| RS and QR||ST. If angle between PQ
and QR is 39º, find the value of x and y
O 31
O 39
O 23
Other:
Answers
Answer:
Since PQ||RS and QR is transversal, so x = 39° [Alternate interior angles] Again QR||ST and RS is a transversal. Therefore, y = x [Alternate interior angles] or y = 39°
Step-by-step explanation:
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Given : four line segments PQ, QR, RS and ST are making the letter W,
PQ||RS and QR||ST.
To Find : Value of x and y
O 31
O 39
O 23
Other:
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Interior angles are supplementary. ( adds up to 180°)
PQ||RS and QR transversal
x = 39° Alternate Interior angles
QR||ST. and RS transversal
y = x Alternate Interior angles
=> y = 39°
values of x and y are 39
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