Question

prove that angleADC=angleA+B+C​

Answer 1

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To prove :-

angle ADC = angle A + B + C

Constriuction :-

Draw ray BM passing from point B and D

In ΔABD angle ADM is exterior angle.

angle ADM = angel A + angle ABD ......(1)

In ΔCBD angle CDM is exterior angle.

angle CDM = angle C + angle CBD ......(2)

add eqution (1) and (2)

angel ADM + CDM = angle A + ABD +

CBD + angle C

angle ADC = angle A + B + C

Hence proved.

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