The sum of the angles in a triangle is always 180°.
So, we have the equation: (x+10) + (x+20) + (x+30) = 180°
Simplifying the equation, we get: 3x + 60 = 180
Subtracting 60 from both sides of the equation, we get: 3x = 120
Dividing both sides by 3, we get: x = 40
Substituting x = 40 back into the expression for the smallest angle, we get: (x+10) = (40+10) = 50
Therefore, the measure of the smallest angle is 50°.
The answer is D. 50.
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.
A. 70
B. 40
C. 60
D. 50
1 answer