The angles of a triangle measure (x+10)° , (x+20)° , and (x+30)° . Find the measure of the smallest angle.(1 point)
Responses
50°
50 degrees
60°
60 degrees
40°
40 degrees
70°
70 degrees
The measure of the smallest angle is given by (x+10)°. Since we are not given a specific value for x, we cannot determine the exact measure of the smallest angle. However, we can determine a general relationship between the angles.
Since the sum of the angles in a triangle is always 180°, we can set up the following equation:
(x+10) + (x+20) + (x+30) = 180
Simplifying the equation, we get:
3x + 60 = 180
Subtracting 60 from both sides, we get:
3x = 120
Dividing both sides by 3, we get:
x = 40
So, if x = 40, the measure of the smallest angle would be:
(40+10)° = 50°
Therefore, the answer is 50°.