Question

two angles in a triangle measure $81^{circ}$ and $35^{circ}$. what is the measure of the third angle?
$\square ^{circ}$
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Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate the third angle

Let the third angle be \(x\). Then \(81^\circ + 35^\circ + x = 180^\circ\). First, add \(81^\circ\) and \(35^\circ\): \(81 + 35 = 116\). So, \(116^\circ + x = 180^\circ\). Subtract \(116^\circ\) from both sides: \(x = 180 - 116 = 64\).

Answer:

\(64\)