A triangle is such that the largest angle is 6 times the smallest angle. The third angle is 28 less than the largest angle. Find the measure of each angl

Question

word problem find the smallest, medium and largest angle

Answer 1

Hi Cindy,

 

Let the smallest angle be x degrees.

Then, the largest angle is 6x deg, and the third angle is 6x-28 deg

Their  sum must be qequal to 80 deg since it is a triangle.

x + (6x-28) + 6x = 180

13x - 28 = 180

13x = 208

x = 16 deg is the smallest angle

6*16 = 96 deg is the largest angle

96 - 28 = 68 deg is the third angle