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
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.