Hi!!! I want help in maths . The interior angles of a pentagon are in the ratio 4:5:6:7:5 . Find each angle of the pentagon.

80,100,120,140 and 100.

correct

Sure! I can help you with that. To find the measure of each angle of the pentagon, we need to use the information given about the ratio of the interior angles.

Step 1: Add up the ratios
The given ratios are 4:5:6:7:5. To find the total number of parts, add up all the numbers in the ratio: 4 + 5 + 6 + 7 + 5 = 27.

Step 2: Calculate the value of each part
To find the value of each part, divide the sum of the ratios by the total number of parts: 360° (the sum of the interior angles of a pentagon) divided by 27 = 13.33°.

Step 3: Calculate each angle
Multiply the value of each part by the corresponding ratio to find the measure of each angle:

4 parts * 13.33° = 53.33°
5 parts * 13.33° = 66.65°
6 parts * 13.33° = 79.98°
7 parts * 13.33° = 93.31°
5 parts * 13.33° = 66.65°

Therefore, the measure of each angle in the pentagon is approximately 53.33°, 66.65°, 79.98°, 93.31°, and 66.65°.