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CBSE Class 9 Answered

In fig., find the value of x.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Produce AD to meet BC at point E

In AEB

We have,

A + B + AEB = 180o

(Sum of 3 angles of a triangle is 180o)

Thus,

Now, AEB + AEC = 108o (Linear pair axiom)

100o + AEC = 180o

… (i)

Now in DEC

DEC + 50o = xo

(Exterior angle is equal to sum of the opp. Interior angles)

Hence, x = 130o (By using (i))

Answered by | 04 Jun, 2014, 03:23: PM

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