Question

Find x and y in the following figure.

Answer 1

Answer :

As line of angle x and y is parallel to the line of angle p therefore :

Angle P = Angle Y (Corresponding Angles)

Therefore

Angle Y = 110° (As P = 110°)

Now

Angle X + Angle Y + 25° = 180°

(Angle Sum Property of Triangle)

x + y + 25 = 180

x + 110 + 25 = 180

x = 180 - 135

x = 45

Hence Value of X and Y is :

X = 45° and Y = 110°

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Answer 2

Proof=》 L and m is a ll lines

25+p+110=180(because this is a st. line)

= p+135=180

p=180-135

p=45

p=x=45(Alternate interior angle)

25+45+y=180( because sum of tringle is 180)

70+y=180

y=180-70

y=110

x=45°

y=110

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