Question

In a parallelogram ABCD, angle A and angle B are in the ratio 1:2. Find the angle A. ​

Answer 1

Answer:

Angle A = 60°

Step-by-step explanation:

The sum of two angles in a parallelogram is equal to 180.

angle A + angle B =180

let the angles be 1x and 2 x

therefore,

x+2x=180

3x = 180

x = 60°

Angle A = 60°

Angle B = 60 * 2 = 120°

Answer 2

Answer:

The angle A is $60^0$

Step-by-step explanation:

Given

angle A and angle B are in the ratio $1:2$

We need to find angle A.

With the given condition we can say that $\frac{A}{B} =\frac{1}{2} \\\\B=2A$

As we know that in a parallelogram the sum of adjacents angles make $180^0$

So we get:

$A+B=180^0$

Substituting B in the above equation we get:

$A+2A=180^0\\\\3A=180^0\\\\A=60^0$