Question

3. Prove that x= a+b+c by using exterior angle property of a triangle.
(Join and Extend BD)
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Answer 1

Answer:

construction:join and extend BD produced to E.

To prove:x=a+b+c

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proof:

from triangle ABD,

Exterior angle=sum of opposite interior angles

x1=a+b1 ......(1)

similarly in triangle CBD,

x2=b2+c ........(2)

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Add 1 and 2

x1+x2=a+b1+b2+c

x=a+b+c

[since,x1+x2=x and b1+b2=b]

Hence, proved.

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