A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle.(1 point)

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180°.

Given two angles measuring 40° and 65°, we can find the measure of the third angle (let's call it \( x \)) by using the following equation:

\[ 40° + 65° + x = 180° \]

Adding the two known angles:

\[ 105° + x = 180° \]

Now, subtract 105° from both sides:

\[ x = 180° - 105° \] \[ x = 75° \]

Therefore, the measure of the third angle is \( 75° \).