Answer: 39°, 72°, 45°, 150°
Step-by-step explanation:
A circle has 360 degrees. [tex]\frac{1}{360}[/tex] would be equal to 1°
1) [tex]\frac{39}{360}[/tex] would be equal to 39° based on the rule above ^^
2) This fraction has a denominator of 5. Turn the denominator into 360. We can do this by multiplying the bottom by 72, since 360 ÷ 5 = 72 (make sure to multiply the numerator by 72 as well!)
[tex]\frac{1*72}{5*72}[/tex] = [tex]\frac{72}{360}[/tex]
This is equal to 72°
3) Use the same method as before
[tex]\frac{1*45}{8*45}[/tex] = [tex]\frac{45}{360}[/tex]
This is equal to 45°
4) Use the same method as before
[tex]\frac{5*30}{12*30}[/tex] = [tex]\frac{150}{360}[/tex]
This is equal to 150°
