Question

The measures of the three angles of a triangle are given by 4x-1, 2x+1, and 6x. What is the measure of the largest angle?

Answer 1

`90^@`

Explanation:

The sum of the three angles of a triangle always adds up to `180^@`.

`=> (4x-1)+(2x+1)+6x=180`
`=> 12x=180`
`=> x=15`

`4x-1=(4xx15)-1=59^@`
`2x+1=(2xx15)+1=31^@`
`6x=6xx15=90^@`

Hence, the largest angle is `90^@`