Question

two consecutive angles of parallelogram are in the ratio 1:3then what will be the smaller angle​

Answer 1

45°

Step-by-step explanation:

We know that sum of the consecutive angles is 180° in a parallelogram

so now

let the angles be x

so

1x+3x=180

4x=180

x=180/4

x=45

so

x=45°

and 3x=3×45=135°

so the smallest angle is 45°

Answer 2

Given:

Two consecutive (i.e adjacent) angles of a parallelogram are in ratio 1:3

To be found:

The smaller angle

Let angles be 1x and 3x

We know that,

Opposite sides of the paralellogram is equal.

So,

The sum of two consecutive angles = 180°

→ 1x + 3x = 180

→ 4x = 180

→ x = 180 ÷ 4

→ x = 45

So, the value of x = 45.

Now, two consecutive angles are

1x = 1 × 45 = 45°

3x = 3 × 45 = 135°

Hence,

The smaller angle is 45°