A triangle has two angles measuring 40°

Question

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°.

To find the measure of the third angle, you can use the following formula:

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

Given the two angles:

• Angle 1 = 40°
• Angle 2 = 65°

Now, plug in the values:

\[ \text{Third angle} = 180° - (40° + 65°) \] \[ = 180° - 105° \] \[ = 75° \]

So, the measure of the third angle is 75°.