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