+1439 In a certain triangle, the exterior angles are in the ratio $3:5:10.$ What is the measure of the smallest interior angle of the triangle, in degrees?
+290 We know that the angles of the triangle are in the ratio 3:5:10, and we know that the sum of the three interior angles of a triangle is 180°, so we can do:
\(3x + 5x + 10x = 180°\)
\(18x=180°\)
\(x=10°\)
We can now multiply 3, the smallest interior angle, by x.
\(3\cdot 10\)
\(30°\)
Answer: 30°
