The supplement of an angle is nines times as large as the complement of the angle. what is the measure of the angle to the nearest hundredth of a degree?

  78.75°

Step-by-step explanation:

Let x represent the measure of the angle in degrees. Then its supplement is 180-x, and its complement is 90-x. The given relation is ...

  180 -x = 9·(90 -x)

  180 -x = 810 -9x . . . . eliminate parentheses

  8x = 630 . . . . . . . . . . add 9x-180

  x = 630/8 = 78.75

The measure of the angle is 78.75°.

3

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft