Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25° and 68°

Question

Thank you.

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180°. To find the third angle, you can use the formula:

\[ \text{Third angle} = 180° - (\text{Angle 1} + \text{Angle 2}) \]

In this case, the two given angles are 25° and 68°.

First, add the two angles:

\[ 25° + 68° = 93° \]

Now, subtract this sum from 180°:

\[ \text{Third angle} = 180° - 93° = 87° \]

Therefore, the measure of the third angle is 87°.