Question

In the figure ab is parallel to CD find the value of x

Answer 1

AnswEr:-

Your Answer Is 100°.

ExplanaTion:-

Given:-

• AB ।। CD.

• Measure of <BGE = 135°.

• Measure of <DFE = 125°.

To Find:-

• The value of x.

Construction:-

• Let us draw XY passing through point E and XY ।। AB ।। CD.

[See the Attachment]

Concepts Used:-

• Corresponding Angles:- Sum of two corresponding angles are always equal to 180°.

So Here,

• <BGE And <YEG are corresponding to each other.

• And <DFE And <YEF are also corresponding to each other.

So By Using Concept we get:-

↦ <BGE + <YEG = 180°.

↦ 135° + <YEG = 180°.

↦ <YEG = 180° - 135°.

↦ <YEG = 45°.

Similarly,

↦ <DFE + <YEF = 180°.

↦ 125° + <YEF = 180°.

↦ <YEF = 180° - 125°.

↦ <YEF = 55°.

Also,

↦ x = <YEG + <YEF.

↦ x = 45° + 55°.

↦ x = 100°.

Therefore The Required Value Of x is 100°.

Answer 2

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