Question

The size of angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle.

Answer 1

Answer:

40°, 80°, 120° and 120°

Step-by-step explanation:

Let the angles of quadrilateral be 1x , 2x, 3x and 3x respectively where x is the constant by which all four are multiplied with.

Then,

We know that sum of all angles of quadrilateral is 360°.

Thus,

1x + 2x + 3x + 3x = 360°

=> 9x = 360°

=> x = 360/9 = 40°

Hence, x = 40°

Now all angles are :

1x = 1 × 40 = 40°

2x = 2 × 40 = 80°

3x = 3 × 40 = 120°

3x = 3 × 40 = 120°