Question
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.
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GPT 3.5
The sum of the angles in a triangle is 180°. 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°
Thus, the smallest angle measures x + 10° = 40° + 10° = <<40+10=50>>50°. Answer: \boxed{50}.
(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°
Thus, the smallest angle measures x + 10° = 40° + 10° = <<40+10=50>>50°. Answer: \boxed{50}.
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