Question

If given figure, DC & BE intersect at P. Find relation between a degree b degree c degree and x degree

Answer 1

Given : DC & BE intersect at P.

To find : relation ship between a , b , c & x

Solution:

x = ∠EBA  + c    ( Exterior angle of triangle = sum of opposite interior angles)

∠EBA = a + ∠PCB

∠PCB =  180° - b  ( as linear pair )

∠EBA = a +  180° - b

x = ∠EBA  + c

=> x =  a +  180° - b  + c

=> x + b = a + c + 180°

=>  x + b  - a -  c =  180°

relation ship between a , b , c & x

x + b  - a -  c =  180°

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