Question

What is the measure of each angle in the circle?

60°
90°
30°
72°

Answer 1

Answer:

~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

Step-by-step 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

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

Therefore,

• Measure of each angle is 72° .