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Question

In the figure below, ABC BED, DEB = 115 and CAB = 25, find BDE.


A

40°

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B

45°

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C

50°

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D

55°

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Solution

The correct option is A

40°


Since ABC BED

DEB = CBA = 115
CAB = DBE = 25
CBA,DBE and CBD from a linear pair.

CBA + DBE + CBD = 180
So, CBD = 40

CBE + BED =180
So, BC ED

BDE = CBD = 40 (Alternate interior angles)


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