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Yakvenalex [24]
9 months ago
11

Find the measure of ZB.

Mathematics
1 answer:
RoseWind [281]9 months ago
6 0

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=\frac{168}{14}=12 \end{gathered}

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

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Explain how you have solved for x and show your workings out. I will award the brainliest 25 points!
Brums [2.3K]

Answer:

The value of x is 10º.

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:

100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ} (1)

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Answer:

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Hope this helps!
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