Question

The measures of the angles of a triangle are x+2, x+4, and 2x+10. How do you find the measure of each angle?

Answer 1

`43^@, 45^@, 92^@`

Explanation:

In a triangle, the three interior angles always add up to `180^@`

Let the three angles of the triangle be `(x+2), (x+4) and (2x+10)`, respectively.

`=> (x+2)+(x+4)+(2x+10)=180^@`
`=> 4x+16=180`
`=> x=(180-16)/4=41^@`

Hence,
`x+2=41+2=43^@`
`x+4=41+4=45^@`
`2x+10=2xx41+10=92^@`