Question

Could anyone give me the answer to this question?

Answer 1

36

Explanation:

`\angle AOC` is made up of s + r, and since r is
`(3)/(5)` of
`\angle AOC` we know r must be the remaining
`(2)/(5)` of
`\angle AOC`.

We can solve for
`\angle AOC` by using this equation:

`(2)/(5)\angle AOC = 24\\((2)/(5)\angle AOC)(5)/(2) = (24)(5)/(2)\\ \boxed{\angle AOC = 60}`

1. 2 fifths of
`\angle AOC` is 24

2. multiply both sides by
`(5)/(2)` to isolate
`\angle AOC`

3.
`\angle AOC` is 60°

We can now solve for r

`r = (3)/(5)\angle AOC\\r = (3)/(5)(60)\\\boxed{r = 36}`

1. the equation the problem gave us

2. substitute
`\angle AOC` for 60 (we solved for it before)

3.
`r` is 36°