Answer:
25 deg.
Step-by-step explanation:
According to the problem, the angle is 365 less than six times its own complement, which can be written as:
=6(90−)−365
Now, let's solve this equation for
=6(90−)−365
Expanding the right side:
=540−6−365
Combine like terms:
=175−6
Add 6
7=175
Divide both sides by 7:
=175/7
=25
So, the measure of the angle is
25 degrees.