Question

The exterior angles of a Pentagon are in t
he ratio2:1:4:3:5find each angle of the pentagon

Answer 1

Answer:

the answer is 72,36,144,108,180.

Answer 2

Answer:

132°, 156° , 84° , 108° and 60°

Step-by-step explanation:

The sum of the exterior angles of all polygons = 360°

Let the angle be 2x , x , 4x , 3x and 5x.

So, 2x + x + 4x + 3x + 5x = 360°

⇒ 15x = 360°

⇒ x = 360 / 15

⇒ x = 24°

So, the exterior angles are

2 * 24 = 48°

x = 24°

4 * 24 = 96°

3 * 24 = 72°

5 * 24 = 120°

The sum of exterior angle and corresponding interior angle is 180°

So, the interior angles are

180° - 48° = 132°

180° - 24° = 156°

180° - 96° = 84°

180° - 72° = 108°

180° - 120° = 60°