Question

If the measure of supplement of an angle measures seven times the measure of angle itself then what is the measure of the complement of this angle?

Answer 1

Answer:

Measure of the complement is 15∘

Step-by-step explanation:

Let the measure of the angle be x

measure of its complement is then 90∘−x

and measure of its supplement is then 180∘−x.

As the measures of the supplement of an angle is seven times the measure of the complement of the angle, we have

180∘−x=7×(90∘−x)

or 180∘−x=630∘−7x

or 7x−x=630∘−180∘

or 6x=450∘

i.e. x=450∘6=75∘ and

Measure of the complement is 90∘−75∘=15∘

I HOPE THIS WILL HELP YOU....

AND PLEASE FOLLOW ME.....