Question

what is the Answer ​

Answer 1

Answer:

option (C) is the correct answer

Step-by-step explanation:

sum of angles of a triangle =180°

since ABC and ACB are equal,

then

2(ABC) + BAC = 180°

2(ABC) = 180° - 40°

2(ABC) = 140°

ABC = 70° = ACB

sum of ABD and ACB = 180°

ABD + 70° = 180°

ABD = 110° =ACB

Answer 2

Answer:

∠BAC = 40°

Let,

∠ABC = ∠ACB = x

In ΔABC,

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

x + x + 40° = 180°

  2x + 40 = 180

    2x = 180 - 40

     2x = 140

      x = 140/2

    x = 70°

Therefore x = ∠ABC = ∠ACB = 70°

Now ∠ABD = ∠BAC + ∠ACB ( EXterior Angles)

                    = 40 + 70

                    = 110°

Hope it helps you mate!