The interior angles of a pentagon form an arithmetic sequence. The difference between the largest angle and smallest angle is 44 degrees. Find the smallest angle, in degrees.
+24 Let's label the angles a,b,c,d,e with a being the smallest and e being the largest. a+x = b. a+2x=c. a+3x=d.a+4x=e. A is 4x, or 44 degrees smaller than E. This means x is 11. And, if you add up all the angles, you get 540 because a pentagon is 540 total degrees. 5a+110= 540. 5a= 430. a=86. The smallest angle is 86.
+24 Let's label the angles a,b,c,d,e with a being the smallest and e being the largest. a+x = b. a+2x=c. a+3x=d.a+4x=e. A is 4x, or 44 degrees smaller than E. This means x is 11. And, if you add up all the angles, you get 540 because a pentagon is 540 total degrees. 5a+110= 540. 5a= 430. a=86. The smallest angle is 86.
