Question

20. In the adjoining figure, find the value of x.
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Answer 1

Answer:

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Step-by-step explanation:

It is not a regular polygon

but we knew that :The sum of the exterior angles of an irregular polygon also equals 360°

=>125°+140°+x°=360°

=>265°+x°=360°

=>x°= 360°-265°

=>x°= 95°

Answer 2

Answer:

x=95

Step-by-step explanation:

construction: braw a line parallel to AB so it will be atomatically parallel to DE

mark it as F

SOLUTION:

BAC+ACF=180(co-interior angles)

125+ACF=180

ACF=180-125

ACF=55

Now, FCD+EDC=180(same reason co-interior angles)

FCD+140=180

FCD=180-140

FCD=40

Now, ACF+FCD=x

55+40=x

95=x

so the value of x=95

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