Question

I don’t kno how to do this paper i need help with the answers

Answer 1

Given:

The three interior angles of a triangle are;

`6x+1,9x+4,6x-14`

To find the value of x, we use the theorem for the sum of interior angles in a triangle.

The sum of interior angles in a triangle is 180 degrees.

Hence,

`\begin{gathered} (6x+1)+(9x+4)+(6x-14)=180^0 \\ \text{Collecting the like terms,} \\ 6x+9x+6x+1+4-14=180 \\ 21x-9=180 \\ 21x=180+9 \\ 21x=189 \\ \text{Dividing both sides by 21 to get the value of x,} \\ x=(189)/(21) \\ x=9 \end{gathered}`

Therefore, the value of x is 9.