Given:
a.) an measuring 5 degrees.
The angle that is a complement to the angle that measures 5 degrees must have a total of 90 degrees when they are added together.
We get,
[tex]\text{ }\angle1+5^{\circ}=90^{\circ}[/tex][tex]\text{ }\angle1=90^{\circ}-5^{\circ}[/tex][tex]\text{ }\angle1=85^{\circ}[/tex]Therefore, the angle that is a complement to an angle measuring 5 degrees is 85 degrees.