In the Figure four line segments PQ, QR, RS and ST are making the letter W, PQ||RS and QR||ST. If angle between PQ and QR is 39°, find the values of x and y.
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Answers
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
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° and 39°
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