To find the measure of the smallest angle, we can set up the equation: (x+10)° + (x+20)° + (x+30)° = 180°, since the sum of angles in a triangle is always 180°.
Combining like terms, we get: 3x + 60 = 180.
Subtracting 60 from both sides of the equation, we get: 3x = 120.
Dividing both sides by 3, we get: x = 40.
Therefore, the smallest angle is (x+10)° = 40° + 10° = 50°.
The correct answer is 50°.
The angles of a triangle measure (x+10)°, (x+20)°, and (x+30)°. Find the measure of the smallest angle.(1 point)
Responses
50°
40°
60°
70°
1 answer