The measures of the angles of a triangle are in the extended ratio 2: 2: 8. what is the measure of the smallest angle?

Let the three angles of the triangle be represented by 2x, 2x, and 8x.

2x + 2x + 8x = 180

x = 15 and 2x = 30.

The angles of the triangle are 30, 30, and 120.

The smallest angle has measure 30.

Note that  30:30:120 is equivalent to the given ration 2:2:8

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.