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

Answer:

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.

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