Question

For the following figure, prove that reflex angle ADC=angle A+angle B+angle C.
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Answer 1

Answer:

Step-by-step explanation:

ABC=Δ TRIANGLE (given)

∠A+∠B+∠C=180° (angle sum property of a triangle ) EQUATION 1

ADC = base of triangle

base of triangle is a straight line

straight line =180° (linear pair)

ADC=180°   EQUATION 2

by eq 1 and 2

∠ADC=∠A+∠B+∠C

( hence proved )