Question

find the smallest angle of parallelogram if 2 consecutive angle are in the ratio 1:3​

Answer 1

$\large\bf{\underline\orange{Answer \:↝}}$

Consecutive angles of a parallelogram are co-interior angles.

Let one angle be L1=x

and

other angle be L2 =3x

L1 +L2 =180°

⇒x+3x=180°

⇒4x=180°

⇒x=45°

hence the smaller angle is 45°

Answer 2

Step-by-step explanation:

Consecutive angles of a parallelogram are co-interior angles.

Let one angle be L1=x

and

other angle be L2 =3x

L1 +L2 =180°

⇒x+3x=180°

⇒4x=180°

⇒x=45°

hence the smaller angle is 45°