Question

In ΔABC,if AB=AC and ∠CAD is an exterior angle.If ∠CAD=70,then find the angles of ABC.(mention proper steps)

Answer 1

Answer: ABC = 35° ACB=35° BAC = 110°

Step-by-step explanation:

|_ CAD +|_ CAB = 180° (Linear pair)

70° + |_ CAB = 180°

|_ CAB = 180° - 70°

|_ CAB = 110°

Given that AB = AC

So, |_ ABC = |_ ACB

Now,

|_ ABC + |_ ACB + |_ BAC = 180° (Angle Sum Property)

2|_ ABC +|_ CAB = 180°

2|_ ABC + 110° = 180°

2|_ ABC = 180 - 110

2|_ ABC = 70°

|_ ABC = 70/2

|_ ABC = 35° = |_BAC

HOPE IT HELPED YOU!!

Answer 2

Step-by-step explanation:

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