Question

Question

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

To find the measure of the third angle, we can use the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles in a triangle is always 180°.

Let's call the measure of the third angle x°.

Using the theorem, we can set up the equation:

40° + 65° + x° = 180°

Now we can solve for x°.

105° + x° = 180°

Subtracting 105° from both sides:

x° = 180° - 105°

x° = 75°

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