Question

In a parallelogram ∠A : ∠B = 1 : 2. Then, ∠A = *​

Answer 1

Let, the common ratio be x

Formula:- Adjacent angles of a parallelogram is equal to 180°.

So, By the problem:-

x  + 2x = 180°

or, 3x = 180°

or, x = 60°

Answer:-∠A = 60°

Answer 2

Answer:

Let ∠A be x and ∠B be 2x

As we know, that opposite angles are equal in a a parallelogram.

Hence,

∠A=∠C and ∠B=∠D

and also,

sum of all angles = 360°

Hence,

∠A+∠B+∠C+∠D= 360°

2(∠A+∠B)=360°

(x+2x)= 180°

3x=180°

x=60°