Question

ln an adjoining figure if AB||CD ,angle A = 50° and angle B= 40° find the measures of the remaining for angle give reason for your answer​

Answer 1

Answer:

C=40

D=50

Step-by-step explanation:

As ABIICD

angle C=40. (alternate interior angles)

angle D=50. (alternate interior angles)

Answer 2

Answer:

Angle A = 50°

Angle B = 40°

Angle AOB = 90°

Angle C = 40°

Angle D = 50°

Angle COD = 90°

Step-by-step explanation:

In ∆AOB,

By angle sum property of triangle,

A+B+AOB=180°

50°+40°+AOB=180°

90°+AOB=180°

AOB=180°-90°

AOB=90°

COD=AOB ( vertically opposite angles )

COD=90°

also it is given that AB||CD.

B=C ( alternate interior angles )

C = 40°

Also,

A=D ( alternate interior angles )

D=50°