To find the measure of the smallest angle, we need to set up an equation. The sum of the angles of a triangle is always 180°.
So, (x + 10)° + (x + 20)° + (x + 30)° = 180°.
Combine the like terms: 3x + 60 = 180.
Subtract 60 from both sides: 3x = 120.
Divide both sides by 3: x = 40.
Therefore, the measure of 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
40°
40 degrees
70°
70 degrees
50°
50 degrees
60°
1 answer