Problem

8. For the following problem, given two angles of a triangle, find the measure of the third angle. $82^{\circ}$ and $53^{\circ}$
$45^{\circ}$
$37^{\circ}$
$90^{\circ}$
$63^{\circ}$

Answer

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Answer

So, the measure of the third angle is \(\boxed{45^{\circ}}\)

Steps

Step 1 :Given two angles of a triangle are $82^{\circ}$ and $53^{\circ}$

Step 2 :The sum of the angles in a triangle is always $180^{\circ}$

Step 3 :Subtract the sum of the two given angles from $180^{\circ}$ to find the third angle

Step 4 :So, the measure of the third angle is \(\boxed{45^{\circ}}\)

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