Question

solve it quickly friends ​

Answer 1

Answer:

Answer :-   ∠A  = 70°, ∠B  = 50° and  ∠C  = 60°

Step-by-step explanation:

From figure,

In ΔABC,

∠BAC = ∠BAD + ∠DAC

          = 40° + 30°

∠BAC = ∠A  = 70°

Now In ΔADC, ∠D = 90°  ( given)

∠DAC + ∠ADC + ∠ACD = 180° ( Angle sum property)

           30° + 90° + ∠ACD = 180°

           ∠ACD = 180° - 120°

           ∠ACD = ∠C= 60°

Similarly

In ΔABC,

∠A + ∠B + ∠C = 180° ( Angle sum property)

70° + ∠B + 60° = 180°

∠B  = 180° - 130°

∠B  = 50°

Answer :-   ∠A  = 70°, ∠B  = 50° and  ∠C  = 60°

Answer 2

Answer:

Angle A:- 70°

Angle B:- 50°

Angle C:- 60°

Step-by-step explanation:

Angle A = Angle DAB + Angle DAC

= 40°+ 30°

= 70°

Angle B = Angle PBD - Angle ABD

= 90°- 40°

= 50°

Angle C = 180°- (Angle BAD + Angle ABC)

= 180°- (70°+50°)

= 180°- 120°

= 60°