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this is my question! the measure of the first angle of a triangle is 27 degrees. the measure of the second angle is 37 degrees. what is the measure, in degrees of the third angle?

Answer :

To find the measure of the third angle, we have to use the interior angles theorem, which states that all three angles must sum 180°.

[tex]\begin{gathered} 27+37+\alpha=180 \\ \end{gathered}[/tex]

Let's solve

[tex]\begin{gathered} 64+\alpha=180 \\ \alpha=180-64=116 \end{gathered}[/tex]Therefore, the third angle measures 116°.

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