Question

if the angles of a triangles with measures in the ratio 5:6:7, then find the measure of the smallest angles.

Answer 1

Let the measures of the angles be 5x, 6x, and 7x, respectively.

Since the sum of the angles in a triangle is 180 degrees, we have:

5x + 6x + 7x = 180

18x = 180

x = 10

Therefore, the measures of the angles are:

Smallest angle: 5x = 5(10) = 50 degrees. Answer: \boxed{50}.