If the angles of a triangle with
measures in the ratio of 5 : 6 : 7,
then find the measure of the
smallest angle.
(1 point)
40°
50°
60°
70°
Let the angles of the triangle be 5x, 6x, and 7x.
The sum of the angles in a triangle is always 180 degrees, so:
5x + 6x + 7x = 180
18x = 180
x = 10
Therefore, the smallest angle is 5x = 5*10 = 50°.
Therefore, the measure of the smallest angle is 50°.
So, the answer is:
50°