The measure of an angle is fourteen times the measure of a supplementary angle.What is the measure of esch angle?

Question

Finding the measures of complementary , supplementary, vertical and adjacent angles

Answer 1

The statement should be that the measure of an angle is 14 times the measure of ITS supplementary angle.

(Otherwise the problem is NG)

 

x =measure of 'an angle'

its supplement is 180 - x, of course (degrees).

the first sentence tells you x = 14(180-x). 

 

now solve for x; remember to check results. 

Answer 2

a + 14a = 180

15a = 180

a = 12

 

12(14) = 168

 

12 degrees and 168 degrees