Question

Question #827f6

Answer 1

Largest angle: `100^@`

Explanation:

If the measure of the smallest angle is `a`
then the other two angles (given the `1:3:5` ratio)
would be `3a` and `5a`

We know that the sum of the angles of a triangle is `180^@`
So
`color(white)("XXX")a+3a+5a=180^@`
`rArr`
`color(white)("XXX")9a=180^@`

`color(white)("XXX")a=20^@`

Since the largest angle is `5a`
the largest angle is `5xx20^@=100^@`