The angles of a triangle measure (x + 10)°, (x + 20)°, and (x + 30) °. Find the measure of the smallest angle. (1 point)

Question

• 50°
• 70°
• 40°
• 60°

Answer 1

The sum of the angles in a triangle is always 180°. So we can set up the equation:

(x + 10) + (x + 20) + (x + 30) = 180

Simplifying this equation:

3x + 60 = 180

Subtracting 60 from both sides:

3x = 120

Dividing both sides by 3:

x = 40

Therefore, the smallest angle is (x + 10)° = 40° + 10° = 50°.

Answer: • 50°