<span>he total number of internal degrees is (n-2)*180 = 4*180 = 720 degrees. ----- let a = one of the congruent angles. you have: angles 1, 2, and 3 = a. ----- if a = 2 * angle 4, then angle 4 = 1/2 * a ----- if a = 1/2 * angle 5, then angle 5 = 2 * a ----- we have: angle 1 = a angle 2 = a angle 3 = a angle 4 = 1/2 * a angle 5 = 2 * a angle 6 = 115 </span><span>----- since the sum of the angles is equal to 720, we have: 3*a + 2*a + 1/2*a + 115 = 720 combine like terms to get: 5.5 * a + 115 = 720 subtract 115 from both sides to get: 5.5 * a = 720 - 115 = 605 divide both sides by 5.5 to get: a = 720/5.5 = 110 ----- angle 1, 2, and 3 are each 110 degrees. angle 4 = 55 degrees angle 5 = 220 degrees angle 6 = 115 degrees ----- the question is: What is the measure of the smallest angle? the answer is: 55 degrees.</span>
