To find the measure of the smallest angle, we add the three angle measures and set them equal to 180° (since the sum of the angles in a triangle is 180°).
(x + 10) + (x + 20) + (x + 30) = 180
3x + 60 = 180
3x = 120
x = 40
Now plug in the value of x to find the measure of the smallest angle:
(x + 10) = 40 + 10 = 50°
Therefore, the measure of the smallest angle is 50°.
Triangle Angle Sum Theorem Quick Check
The angles of a triangle measure (x + 10) °, (x + 20) °, and (I + 30) *. Find the measure of the smallest angle. (1 point)
1 answer
1 answer