Use the triangle sum TheoromO find the measure of the third angle of the triangle If the measures of 2 angles are 3.46 and 52.8
The triangle sum theorem states that the sum of all angles in a triangle is always equal to 180 degrees.
Let's denote the measure of the third angle by x.
According to the triangle sum theorem, we can set up the equation:
3.46 + 52.8 + x = 180
Combining like terms, we have:
56.26 + x = 180
To isolate x, we subtract 56.26 from both sides:
x = 180 - 56.26
x ≈ 123.74
Therefore, the measure of the third angle of the triangle is approximately 123.74 degrees.