The angles of a triangle measure (x + 10), (x + 20), and (x + 30). Find the measure of the smallest angle.
A. 50
B. 60
C. 40
D. 70
The sum of the angles in a triangle is always 180 degrees.
Therefore, we can write an equation:
(x + 10) + (x + 20) + (x + 30) = 180
Simplifying the equation, we get:
3x + 60 = 180
Subtracting 60 from both sides, we get:
3x = 120
Dividing both sides by 3, we get:
x = 40
To find the measure of the smallest angle, we substitute x = 40 into the expression (x + 10):
40 + 10 = 50
Therefore, the measure of the smallest angle is 50 degrees.
The correct answer is A. 50.