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)
Let x be the measure of the third angle of the triangle.
According to the Triangle Angle Sum Theorem, the sum of the measures of the angles in a triangle is 180°.
So, we have the equation:
34.6° + 52.8° + x = 180°
Combining like terms, we get:
87.4° + x = 180°
Now, we can subtract 87.4° from both sides:
x = 180° - 87.4°
x = 92.6°
Thus, the measure of the third angle of the triangle is 92.6°.
For the quick check
1. 26
2. 92.6
3. 77
4. 75
5. 15