Question

In parellogram ABCD measure angle A=measure angle B =2:3 then measure angle D =???

Answer 1

Hi friend, Harish here.

Here is your answer.

Given.

i) ABCD is a parallelogram.

ii) angle a: angle b =  2:3

To find,

Angle D.

Solution,

Let , Angle A = 2x.

        Angle B = 3x. 

We know that, 

Sum of adjacent angles of a parallelogram is 180° . 

Then,

→ ∠a + ∠b = 180°

→ 2x + 3x = 180°
 
→ 5x  = 180°

→ x = 180 / 5 = 36.

So, Angle A = 2x = 2 × 36 = 72°

      Angle B = 3x = 3 × 36 = 108°

We know that, In a parallelogram Opposite angles are equal. 

So, ∠ A = ∠C , ∠B = ∠D.

Therefore ∠d is 108°.
_________________________________________________
 
Hope my answer is helpful to you. (Refer to the image also)

Answer 2

Angle d is 108 degrees.