Question

this question shows an image of a scalene triangle. find the measurement of angle a: 2x+4 degrees and angle b: 2x-9

Answer 1

Explanation:

The angles A, B, and C must add up to 180 degrees since they form the interior angles of a triangle; thereofre,

`A+B+C=180^o`

but since

`\begin{gathered} A=2x-9 \\ B=2x+4 \\ C=x \end{gathered}`

The above equation becomes

`(2x-9)+(2x+4)+x=180^o`

Now, adding x's to x's and numbers to numbers gives

`(2x+2x+x)+(-9+4)=180^o`
`5x-5=180^o`

adding 5 to both sides gives

`5x=185`

Finally, dividing both sides by 5 gives

`x=37.`

Hence, the value of x is 37.

With the value of x in hand, we now find angles A and B.