Question

The interior angles of a pentagon are in the ratio 4:5:6:7:5.Find the each angles of the pentagon

Answer 1

Answer:

Angles of the pentagon are 80, 100,120, 140, 100 degrees

Step-by-step explanation:

The formula for finding the sum of the measure of the interior angles  for any polygon is (n - 2) x 180, here n is the number sides

Here pentagon is given, sum of interior angles for pentagon is

(5-2)180= 540 degrees.

given that angles are in 4:5:6:7:5 ratio.

$4x+5x+5x+7x+5x=540\\27x =540\\x=\frac{540}{27} \\x=20^0$

now the angles are

$4x =4 \times 20 = 80^0\\5x =5 \times 20 = 100^0\\6x =6 \times 20 = 120^0\\7x =7 \times 20 = 140^0\\5x =5 \times 20 =100^0$

Angles of the pentagon are 80, 100,120, 140, 100 degrees

Answer 2

Answer:

89,100,120,140,100 respectively.

Step-by-step explanation:

Attachment.