Imagine two friends, Angle A and Angle B, who love to play together on a seesaw. However, they always want to make sure their seesaw stays perfectly balanced. The measure of an angle is like the weight of one friend on the seesaw.
Now, let's say Angle A weighs 8 units. Since they want the seesaw to be perfectly balanced, Angle B would need to weigh the same but in the opposite direction. This is called being supplementary, like being opposite on the seesaw.
Since the weight of Angle A is 8 units, the weight of Angle B (its supplementary angle) would be 8 units in the opposite direction. So, Angle B also weighs 8 units.
Therefore, the measure of the first angle (Angle A) is 8 units, and the measure of its supplementary angle (Angle B) is also 8 units.
In conclusion, if the measure of an angle is eight times the measure of its supplementary angle, both angles will have the same measure, which means they will be each 8 units. This balance makes sure the seesaw (or in math terms, the angles) stays perfectly in equilibrium!