Two angles in a triangle have measures of 25° and 55°.

What is the measure of the third angle?

A.
30°
B.
100°
C.
135°
D.
80°

1 answer

In a triangle, the sum of the measures of the angles is always 180°.

Given the two angles:

  • First angle = 25°
  • Second angle = 55°

To find the third angle, you can use the formula:

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

Substituting the known values:

\[ \text{Third angle} = 180° - (25° + 55°) \] \[ \text{Third angle} = 180° - 80° \] \[ \text{Third angle} = 100° \]

Therefore, the measure of the third angle is 100°.

The correct answer is B. 100°.