Question

In each of the following figures AB is parallel to CD. find the value of xin each case.​

Answer 1

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Given:

Angle EAB = 104°

Angle ECD = 116°

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To Find:

The value of x.

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Construction:

Draw a line FEG through E which is parallel to line AB and line CD.

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Explanation:

Angle FEA = 104° ( Alternate Interior Angles )

Angle FEC = 116° ( Alternate Interior Angles )

x = 360° - ( 104° + 116° ) ( Reflex Angle of x )

or, x = 360° - 220°

or, x = 140°

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Answer:

The value of x is 140° .

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Answer 2

Answer:

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Given:

Angle EAB = 104°

Angle ECD = 116°

To Find:

The value of x.

Construction:

Draw a line FEG through E which is parallel to line AB and line CD.

Explanation:

Angle FEA = 104° ( Alternate Interior Angles )

Angle FEC = 116° ( Alternate Interior Angles )

x = 360° - ( 104° + 116° ) ( Reflex Angle of x )

or, x = 360° - 220°

or, x = 140°

Answer:

The value of x is 140° .

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