The angles of a triangle measure (x+10) degree (x+20) degree and (x+30) degree find the measure of the smallest angle

Answer 1

The sum of the angles in a triangle is always 180 degrees. Therefore, we have the equation:

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

Simplifying this equation, we get:

3x + 60 = 180

Subtracting 60 from both sides, we have:

3x = 120

Dividing both sides by 3, we get:

x = 40

Now we can substitute this value back into one of the angles to find the measure of the smallest angle. Let's use the first angle (x + 10):

Angle 1 = x + 10 = 40 + 10 = 50 degrees

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