Question

fasttt pleaseeee :(:(:(

Answer 1

Answer:

angle D = 60°

angle B = 60°

Step-by-step explanation:

In triangle ADC,

angle 1 + angle 2 + angle D = 180°

(because sum of all three angles of triangle is 180°)

so

80° + 40° + angleD = 180°

120° + angleD = 180°

angle D = 180°– 120°

angleD = 60°

Now ABCD is parallelogram

so AB and CD are parallel. and AC is transversal

So angle 1 = angle 3 = 80° (because corresponding alternative angles along transversal are equal)

Similarly

angle 4= angle 2 = 40°

So in triangle ABC

angle 4 + angle 3+ angle B = 180°

40° + 80° + angle B = 180°

angleB = 180°–120°

angle B = 60°