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14 votes
14 votes
Find the measure of ZB.

User Alistair Knock
by
2.7k points

1 Answer

17 votes
17 votes

The sum of the inside angles of a triangle, always sum up to 180 degrees. Using this information, we can create the following equation for this problem:


(3x-2)\text{ +(6}x\text{+11)+(5}x\text{ +3) = 180}

Adding up all terms with 'x' and adding the other together, we have the following equation:


\begin{gathered} (3x+6x+5x)+(11+3-2)=180_{} \\ 14x+12=180 \\ 14x=180-12=168 \end{gathered}

Solving this last equation for 'x', we have the following:


\begin{gathered} 14x=168 \\ x=(168)/(14)=12 \end{gathered}

Then, the final answer for the 'x' value is twelve!

User Cyber Oliveira
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3.0k points