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`

Explanation:

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

Now
`(1)/(3)` of the pizza will have an angle of

`\theta _(1/3) = (1)/(3) * 360 ^o`

= >
`\theta _(1/3) =120 ^o`

Now
`(1)/(5)` of the pizza will have an angle of

`\theta _(1/5) = (1)/(5) * 360 ^o`

= >
`\theta _(1/3) =72 ^o`

Now
`(1)/(8)` of the pizza will have an angle of

`\theta _(1/8) = (1)/(8) * 360 ^o`

= >
`\theta _(1/3) =45 ^o`

Now
`(1)/(9)` of the pizza will have an angle of

`\theta _(1/9) = (1)/(9) * 360 ^o`

= >
`\theta _(1/3) =40 ^o`