The sum of the angles in a triangle is always 180°.
So, we have the equation:
(x + 10) + (x + 20) + (x + 30) = 180°
Combining like terms, we get:
3x + 60 = 180°
Subtracting 60 from both sides, we get:
3x = 120°
Dividing both sides by 3, we get:
x = 40°
To find the measure of the smallest angle, we substitute x = 40° into the given expressions:
Smallest angle = (x + 10)° = 40° + 10° = 50°
So, the measure of the smallest angle is 50°. Answer: B) 50°
The angles of a triangle measure (x + 10) °, (x + 20) °, and (x + 30) °. Find the measure of the smallest angle. (1 point)
70°
50°
40°
60°
1 answer