Question

Michael cut round pizzas into equal parts. Drag the angle measures to the boxes on the right so they match the fractions on the left. 120°45°72°40° Fraction Angle 13 of a pizza 15 of a pizza 18 of a pizza 19 of a pizza

Answer 1

Complete Question

In the diagram on the first uploaded image is a structured representation of the question

Answer:

The correct answer to drag and drop from the first to the last is

       $120 ^o$

       $72 ^o$      

       $45 ^o$

        $40 ^o$

Step-by-step explanation:

The total angle of the pizza is  $\theta _T = 360^o$  this is because the pizza is circular in shape

   Now  $\frac{1}{3}$ of the pizza will have an angle of

             $\theta _{1/3} = \frac{1}{3} * 360 ^o$

      = >    $\theta _{1/3} =120 ^o$

Now   $\frac{1}{5}$ of the pizza will have an angle of

         $\theta _{1/5} = \frac{1}{5} * 360 ^o$

 = >    $\theta _{1/3} =72 ^o$

Now   $\frac{1}{8}$ of the pizza will have an angle of

         $\theta _{1/8} = \frac{1}{8} * 360 ^o$

 = >    $\theta _{1/3} =45 ^o$

Now   $\frac{1}{9}$ of the pizza will have an angle of

         $\theta _{1/9} = \frac{1}{9} * 360 ^o$

 = >    $\theta _{1/3} =40 ^o$