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The measures of the angles of a triangle are shown in the figure below. Solve for x.64°(2x+14)76

The measures of the angles of a triangle are shown in the figure below. Solve for-example-1
User Pnsadeghy
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1 Answer

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To solve this you need to know that the sum of all the angles of a triangle equals 180° independently of the triangle. So we can construct an equation for x using this information:


\begin{gathered} 180=64+76+(2x+14)=140+2x+14 \\ 180=2x+154 \end{gathered}

Then:


\begin{gathered} 2x=180-154 \\ 2x=26 \\ x=(26)/(2)=13 \end{gathered}

So x=13.

User Sam YC
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