Question

The measures of the three angles of a triangle are given by 18x − 7, 12x + 9, and 4x. What is the measure of the largest angle?

Answer 1

The greatest angle is
`18x-7`

Step-by-step explanation:

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to
`180`°.

The given angles of a triangle are
`18x-7,12x+9,4x`

Therefore,

`18x-7+12x+9+4x=180`°

`34x+2=180`°

`34x=178`°

`x=(178)/(34)=(89)/(17)`

`18x-7=18((89)/(17))-7=(1602-119)/(17)=(1483)/(17)`≈ 87.2°

`12x+9=12((89)/(17))+9=(1068+153)/(17)=(1221)/(17)` ≈ 71.8°

`4x=4((89)/(17))=(356)/(17)` ≈ 20.9°

Therefore, greatest angle is
`18x-7`