Question

The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)

Answer 1

To find the measure of the smallest angle, we need to determine the value of x.

Since the sum of the angles in a triangle is always 180 degrees, we can set up an equation:

(x+10) + (x+20) + (x+30) = 180

Combining like terms, we have:

3x + 60 = 180

Subtracting 60 from both sides:

3x = 120

Dividing both sides by 3:

x = 40

Now we can find the measure of the smallest angle:

x + 10 = 40 + 10 = 50

Therefore, the measure of the smallest angle is 50 degrees.