Question

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

Answer 1

Please show work and steps

Answer 2

Ratio = 2:2:8
=> Let the 3 angles be 2x , 2x and 8x ..

=> According to the angle sum property of triangles,
2x + 2x + 8x = 180

=> 12x = 180
=> x = 15 ..

=> the 2 angles are 30 degree, 30 degrees and 120 degrees

Therefore, the measure of the smallest angle is 30 degrees..