Question

the measure of an angle is nineteen times the measure of its complementary angle. what is the measure of each angle?

Answer 1

Step-by-step explanation:

officially, complementary angles complete each other to a total sum of 90 degrees.

supplementary angles complete each other to a total sum of 180 degrees.

angle 1 = 19× angle 2

90 = angle 1 + angle 2 = 19×angle 2 + angle 2 = 20×angle 2

angle 2 = 90/20 = 9/2 = 4.5 degrees.

angle 1 = 19×4.5 = 85.5 degrees.

and so, it seems to me, your teachers made a severe definition mistake and aimed for 180 degrees instead of the correct 90 degrees.

in that case, everything doubles.

angle 2 = 9 degrees

angle 1 = 171 degrees