Question

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

The sum of the angles in a triangle is always 180°.

So, we can write the equation:

(x+10)° + (x+20)° + (x+30)° = 180°

Simplifying the equation, we get:

3x + 60° = 180°

Subtracting 60° from both sides of the equation, we get:

3x = 120°

Dividing both sides of the equation by 3, we get:

x = 40°

Now we can substitute x = 40° into any of the angle expressions to find the measure of the smallest angle.

The smallest angle is (x + 10)° = 40° + 10° = 50°.

So, the measure of the smallest angle is 50°.