two interior angles of a triangle each measure 34 degrees. What is the measurement of the third interior angle?

146 degrees
112 degrees
292 degrees
56 degrees

1 answer

The sum of the interior angles of a triangle is always 180 degrees. If two angles each measure 34 degrees, you can find the third angle by using the following equation:

\[ \text{Third angle} = 180^\circ - (\text{First angle} + \text{Second angle}) \]

Substituting the known values:

\[ \text{Third angle} = 180^\circ - (34^\circ + 34^\circ) \] \[ \text{Third angle} = 180^\circ - 68^\circ \] \[ \text{Third angle} = 112^\circ \]

Therefore, the measurement of the third interior angle is 112 degrees.