Question

The 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 dgrs
B.18 dgrs
C.30 dgrs
D.50 dgrs

34 points for the person who answers

Answer 1

I think the answer is C.30 dgrs

sorry if I'm wrong

Answer 2

Since the measure of the inner angles of a triangle is
(n - 2)180° = (3 - 2)180° = 1 * 180° = 180°, that means if the ratio is 3:5:10 that 180° is being divided into (3 + 5 + 10) or 18 sections.
Since there are 18 sections and 3 go to the smallest part, that means that it is
`(3)/(18)` of the total inner angle measure, or

`180* (3)/(18)\\ 10 * 3\\ 30`
So the measure of the smallest angle is 30°.