Use the Triangle Angle Sum Theorem to answer this question. The angle of the triangle are 3x, 50, and x + 10. Find the measure of the smallest angle of the triangle

Answer 1

According to the Triangle Angle Sum Theorem, the sum of the angles in a triangle is always 180 degrees.

So, we can write the equation:

3x + 50 + (x + 10) = 180

Combine like terms:

4x + 60 = 180

Subtract 60 from both sides:

4x = 120

Divide both sides by 4:

x = 30

Now we can find the measure of the smallest angle by substituting x into the expression:

smallest angle = x + 10 = 30 + 10 = 40 degrees

Therefore, the measure of the smallest angle of the triangle is 40 degrees.