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Question

Find the numerical value of (c - a) + (d - b).


A

80°

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B

110°

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C

90°

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D

100°

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Solution

The correct option is D

100°


b=115 [Vertically opposite angles]
c=140 [Vertically opposite angles]
c=d=140 [Corresponding angles]
a+b=180 [Co-interior angles]
a=180b=180115=65

(c - a) + (d - b) = (140° - 65°) + (140° - 115°)
= 75° + 25°
= 100°


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