Question

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°

Answer 1

[AI-generated answer — Bot GPT 3.5]

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°.