Question

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

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

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

According to the Triangle Angle Sum Theorem, we can write the equation:

34.6° + 52.8° + x = 180°

Combining like terms, we get:

87.4° + x = 180°

Now, let's solve for x by subtracting 87.4° from both sides of the equation:

x = 180° - 87.4°

x = 92.6°

Therefore, the measure of the third angle of the triangle is 92.6°.