Question

What is the measure of each angle in the circle?

60°
90°
30°
72°

Answer 1

~Lord

The magnitude of the degree in a circle is. there are 5 angels in a circle

measure of each angle:

• degree of circle ÷ numbers of angle
• 360° ÷ 5
• 72°

so measure of each angle is 72°

Answer 2

Explanation:

As Per Provided Information

Number of sector in given circle is 5

As we know sum of all angles in a circle at centre is 360° .

Since number of sector is given and we are asked to find the measure of each angle in given circle .

`\huge{ \boxed{\sf \: Angle_((Circle)) = \cfrac{360}{ \: number \: of \: sector}}}`

Now put the value in above equation and we obtain

`\longrightarrow\sf \: Angle_((Circle)) = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_((Circle)) = \cancel (360)/(5) \\ \\ \\ \longrightarrow\sf \: Angle_((Circle)) = {72}^( \circ)`

Therefore,

• Measure of each angle is 72° .