Question

The angles of a triangle measure (x+10), (x+20). Find the measure of the smallest angle.

Answer 1

To find the measure of the smallest angle in the triangle, we need to first set up an equation using the fact that the sum of the angles in a triangle is 180 degrees.

Given that the angles of the triangle measure x + 10, x + 20, and the smallest angle will be x + 10, we can write the equation:

(x + 10) + (x + 20) + (x + 10) = 180

Simplify the equation:

3x + 40 = 180

Subtract 40 from both sides:

3x = 140

Divide by 3:

x = 46.67

Therefore, the smallest angle in the triangle is:

x + 10 = 46.67 + 10 = 56.67 degrees.