# CBSE Class 9 Answered

**In a quadrilateral ABCD, the line segments bisecting C and D meet at E. Prove that A + B = 2 CED.**

Asked by Topperlearning User | 16 Aug, 2017, 02:17: PM

Expert Answer

_{}

In

_{}DEC,_{}1+_{}2 +_{}CED = 180^{o}(angle sum property of triangle)_{}

_{}CED = 180

^{o}– (

_{}1+

_{}2)

_{}A +

_{}B+

_{}C+

_{}D = 360

^{o}(angle sum property of quadrilateral)

_{}

Answered by | 16 Aug, 2017, 04:17: PM

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