The sum of the angles in a triangle is always 180°.
So, we can write 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 of the equation by 3, we get:
x = 40°
Now we can substitute x = 40° into any of the angle expressions to find the measure of the smallest angle.
The smallest angle is (x + 10)° = 40° + 10° = 50°.
So, the measure of the smallest angle is 50°.
Question
The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)
1 answer