Final answer:
To determine the measure of two angles where one is 3.5 times the other, set up an equation representing their relationship, summing to either 180 degrees for supplementary angles or to another given sum, and solve for the smaller angle.
Step-by-step explanation:
To find the measure of each angle when one angle is 3.5 times the measure of another, we use algebra. Let's denote the smaller angle as x and the larger angle as 3.5x. Because these angles are related, and if they are angles in a triangle, their sum must be 180 degrees. So we can write the equation: x + 3.5x = 180. Simplify this to 4.5x = 180 and solve for x by dividing both sides by 4.5. This gives x = 40 degrees, which means the larger angle is 3.5 x 40 = 140 degrees.
If these are not the angles of a triangle, the context might be missing to solve the problem thoroughly. Angles might be considered supplements (sum to 180 degrees) or complementary (sum to 90 degrees) based on the scenario provided.