Let (2x-12) degrees represent the measure of an acute angle. What are the possible values of x?

Acute angle is an angle measure less than 90 degrees

Right angle is an angle that measure 90 degrees

Obtuse angle is an angle that measure more than 90 degrees.

In the given situation, we need to find the value of x of an acute angle with the given situation

=> (2x-12)

=> 0 < (2x - 12) < 90

=> 12 < 2x < 102

=> 6 < x < 51

Let’s check our answer

=> 2 (51 - 6)

=> 102 - 12

=> 90

Thus, the value of x = 51 degrees