Questions
The angles of a triangle measure (x + 10), (x + 20), and (x + 30). Find the measure of the smallest angle.
triangle is 90 degrees
A. 50
B. 60
C. 40
D. 70
Since the angles of a triangle always add up to 180 degrees, we can set up the 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:
Smallest angle = x + 10 = 40 + 10 = 50
Therefore, the answer is A. 50 degrees.