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