Question

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Book Back answer is:

a.) x = y = 55 °

b.) x = 45 ° , y = 125 °

c.) x = y = 140 ° ​

Answer 1

Step-by-step explanation:

first question :-

125°+ <y = 180°(by linear pair)

<y = 180° -125°

<y = 55°

<x = <y (alternate angles)

<x = 55°

second question :-

<x = 45°(alternate angles)

<y = 125°(vertically opposite angles)

third question :-

<y = 140°(vertically opposite angles)

<x = <y(alternate angles)

<x = 140°

Hope it helps.

Answer 2

1) y = 55° , x = 55°

2) y =125° , x = 45°

3) y =140° , x = 140°

Step-by-step explanation:

1)

We know that,

Addition of angles of linear pair is 180°

y + 125° = 180° ( Linear Pair )

y = 180° - 125°

y = 55°

y = 55°

We know that,

x and y are alternate interior angles

Therefore,

x = y ( Alternate Interior Angles )

x = 55°

x = 55°

___________________________

2)

We know that,

Measure of vertical opposite angles are equal

Therefore,

y = 125° ( Vertically Opposite Angle )

y =125°

We know that,

x and 45° are alternate interior angles

Therefore,

x = 45° ( Alternate Interior Angles )

x = 45°

___________________________

3)

We know that,

Measure of vertical opposite angles are equal

Therefore,

y = 140° ( Vertically Opposite Angle )

y =140°

We know that,

x and y are alternate interior angles

Therefore,

x = y ( Alternate Interior Angles )

x = 140°

x = 140°