he measures of the angles of a triangle are in the extended ratio 3 : 5 : 10. Find the measure of the smallest angle in the triangle.
a.10
b.18
c.30

Question

he measures of the angles of a triangle are in the extended ratio 3 : 5 : 10.  Find the measure of the smallest angle in the triangle.
a.10
b.18
c.30

Vocaloid · Answer

The sum of angles in a triangle is 180 degrees.

The ratio of angles is 3:5:10, which means the angles are 3x, 5x, and 10x where x is some positive constant

Add 3x + 5x + 10x = 180, solve for x. **important** it’s asking for the smallest angle, which is 3x, do calculate 3x to get your final answer.