Question

Find the measure of an angle, it
six times its complement is 12° less than twice its supplement.​

Answer 1

Step-by-step explanation:

Let measure of an angle be x

So, measure of its complement=(90‐x)

and measure of its supplement =(180‐x)

As per given conditions,

6(90‐x)=12‐2(90‐x)

540+6x=12‐180‐2x

540+180‐12=6x‐2x

4x=708

x=177degrees

Thus the measure of the angle is 177 degrees