To find the measure of the smallest angle, we want to find the minimum value of x such that all the angles are positive.
Since the sum of the angles in a triangle is 180°, we have:
(x + 10) + (x + 20) + (x + 30) = 180
3x + 60 = 180
3x = 120
x = 40
Now, plug in x = 40 to find the measures of the angles:
Smallest angle: x + 10 = 40 + 10 = 50°
Therefore, the measure of the smallest angle is 50°.
Answer: 50°
The angles of a triangle measure (x + 10)°, (x + 20) °, and (x + 30) °. Find the measure of the smallest angle. (1 point)
0 50°
0 70°
o 40°
O 60°
1 answer