The sum of the angles of any triangle is 180°. If the size of two angles are known, we can easily solve for the missing angle.
Consider a triangle with angles ABC. If we know that angle A is 72 degrees and angle B is 64 degrees, what is the measure of \(\angle C\)?
Step 1: Add the two given angles.
\(72^\circ + 64^\circ = 136^\circ\)
Step 2: The sum of the angles must be 180°. Subtract to find the missing angle.
\(180^\circ -136^\circ = 44^\circ\)