a triangle has two angles meaning measuring 40 and 65. Use the triangle angle sum theorem to find the measure of the third angle.

Answer 1

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

Let x be the measure of the third angle.

According to the theorem, we have the equation:

40 + 65 + x = 180

Combining like terms, we get:

105 + x = 180

Subtracting 105 from both sides, we have:

x = 180 - 105

x = 75

Therefore, the measure of the third angle is 75 degrees.