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find the measure of the angles in the following triangles.x=______missing angle measures:_______ ______

Find The Measure Of The Angles In The Following Trianglesxmissing Angle Measures class=

Sagot :

First, we have to use the interior angles theorem

[tex]x-2+72+x=180[/tex]

Then, we solve for x

[tex]\begin{gathered} 2x+70=180 \\ 2x=180-70 \\ 2x=110 \\ x=\frac{110}{2} \\ x=55 \end{gathered}[/tex]

Then, we use this value to find each angle

[tex]\begin{gathered} (x-2)=55-2=53 \\ x=53 \end{gathered}[/tex]

Hence, the interior angles are 72°, 55°, and 53°

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