Question

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

A) 50
B) 70
C) 40
D) 60

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

(x + 10) + (x + 20) + (x + 30) = 180
Combining like terms, we get:
3x + 60 = 180
Subtracting 60 from both sides, we have:
3x = 120
Dividing both sides by 3, we get:
x = 40
Plugging this value back into the original equations, we find the measure of the smallest angle is:
x + 10 = 40 + 10 = 50 degrees.
The answer is (A) 50.