Question

The angles of quadrilateral are in the ratio 2 : 4 : 8 : 10. Find all the angles of the quadrilateral​

Answer 1

Answer:

Question:

The angles of quadrilateral are in the ratio 2 : 4 : 8 : 10. Find all the angles of the quadrilateral​.

What to find?

The angles of the quadrilateral which are in the ratio 2 : 4 : 8 : 10.

Solution:

Let the common multiple of the ratio be x.

Sum of interior angle of the quadrilateral = 360°

⇒ 2x + 4x +  8x + 10x = 360°

⇒ 24x = 360°

⇒ x = 360/24

⇒ x = 15

So let's substitute the values.

2x = 2 × 15 = 30°

4x = 4 × 15 = 60°

8x = 8 × 15 = 120°

10x = 10 × 15 = 150°

∴ So, the angle of quadrilateral which are in the ratio 2 : 4 : 8 : 10 are 30°, 60°,  120°, 150° respectively.