Question

The measures of the angles of a triangle are in the extended ratio 5:6:7. What is the measure of the largest angle?A. 10 degreesB. 50 degreesC. 60 degreesD. 70 degreesthank you ! :)

Answer 1

Given:

The measures of the angles of a triangle are in the extended ratio 5:6:7.

Required:

We need to find the largest angle.

Step-by-step explanation:

The measure of angles are 5x, 6x, and 7x.

We know that the sum of all three angles is 180 degrees.

`5x+6x+7x=180\degree`
`18x=180\degree`

Divide both sides by 18.

`(18x)/(18)=(180\degree)/(18)`
`x=10\degree`

The largest angle is 7x since 7 is larger than 5 anf 6.

`7x=7*10=70\degree`

The largest angle is 70 degrees,

Final answer:

The measure of the largest angle is 70 degrees,