Question
the angles of a triangle measure (x + 10)° , (x + 20)°, and (x + 30)° find the smallest angle.
Answers
GPT 3.5
To find the smallest angle, we need to find the angle with the smallest measure.
Setting up an inequality:
(x + 10)° + (x + 20)° + (x + 30)° = 180°
3x + 60 = 180
3x = 120
x = 40
Now we substitute x back into the expressions for the angles to find their measures:
Smallest angle: (x + 10)° = 40 + 10 = 50°
Therefore, the smallest angle of the triangle is 50°.
Setting up an inequality:
(x + 10)° + (x + 20)° + (x + 30)° = 180°
3x + 60 = 180
3x = 120
x = 40
Now we substitute x back into the expressions for the angles to find their measures:
Smallest angle: (x + 10)° = 40 + 10 = 50°
Therefore, the smallest angle of the triangle is 50°.