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°.(1 point)
To find the measure of the third angle, we can use the Triangle Angle Sum Theorem, which states that the sum of the three angles in a triangle is always 180 degrees.
Let's call the measure of the third angle x.
Using the Triangle Angle Sum Theorem, we can set up the equation:
34.6 + 52.8 + x = 180
Combining like terms, we have:
87.4 + x = 180
To solve for x, we can subtract 87.4 from both sides of the equation:
x = 180 - 87.4
Simplifying, we find:
x = 92.6
Therefore, the measure of the third angle is 92.6 degrees.