The angles of a triangle measure 22, 32, and 4z. Using the Triangle Angle Sum Theorem, find the measure of the smallest angle in this triangle. (1 point)

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees.

Given that the angles of the triangle measure 22, 32, and 4z, we can set up the equation:

22 + 32 + 4z = 180

Simplifying, we get:

54 + 4z = 180

Subtracting 54 from both sides, we get:

4z = 126

Dividing by 4, we get:

z = 31.5

Now we can find the measure of the smallest angle by substituting z back into the expression for the third angle:

4z = 4(31.5) = 126 degrees

Therefore, the smallest angle in this triangle measures 22 degrees.