Answer:
The measure of each angle is 18°
Step-by-step explanation:
we know that
A <u><em>regular polygon</em></u> is a polygon whose all sides are equal and also all angles are equal.
so
In this problem

Solve for x



Substitute the value of x

therefore
The measure of each angle is 18°
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
This is where Pythagorean's Theorem comes into play. a^2+b^2=c^2
So take 4^2 + 7^2 (which is 16+49), and your result is 65. Take the square root of 65 and you get 8.06 (8.1 rounded up)