Let x represent the measurement of an acute angle in degrees. the ratio of the complement of x to the supplement of c is 2: 5. guess and check to determine the value of x. explain why your answer is correct.

The ratio of the complement of x to the supplement of x is 2:5. The value of x is 30

Solution:

It is given that x represents the measurement of an acute angle in degrees.  It is also given that the ratio of the complement of x to the supplement of x is 2:5.  

Since it is given that x is an acute angle it means that it has to be less than 90.

Complement of an angle = 90 - x

Supplement of an angle = 180 - x

In this case it is given that the ratio of the complement of x to the supplement of x is 2:5

So we can write the relation as follows:

Therefore the value of x is 30.