The supplement of an angle is six and a half times as large as the complement of the angle. What is the measure of the supplement angle to the nearest hundredth of a degree?

A supplementary angle, when added to another angle, will equal 180 degrees.

A complementary angle, when added to another angle, will equal to 90 degrees.

We can set up an equation with what we have so far:

6.5(180 - x) = (90 - x)
1170 - 6.5x = 90 - x
7.5x = 1080
x = 144

180-144 = 35

The measure of the supplementary angle is 35 degrees.