Use the triangle angle sum theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6 and 52.8

Answer 1

The triangle angle sum theorem states that the sum of the angles in a triangle is always 180 degrees.

Let x be the measure of the third angle.

We know that the sum of the three angles is 180 degrees:
34.6 + 52.8 + x = 180

Adding the given angles together, we have:
87.4 + x = 180

To solve for x, we subtract 87.4 from both sides of the equation:
x = 180 - 87.4

x = 92.6

So, the measure of the third angle of the triangle is 92.6 degrees.