The angles of a triangle measure 103° and 22°. Use the Triangle Angle Sum Theorem to find the missing measure
To find the missing measure of the third angle in the triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Let x be the measure of the missing angle. We know that the other two angles measure 103° and 22°.
Therefore, we can set up the equation:
103° + 22° + x = 180°
Combine like terms:
125° + x = 180°
Subtract 125° from both sides:
x = 55°
Therefore, the missing measure of the third angle in the triangle is 55°.