MATH SOLVE

3 months ago

Q:
# The complement of an angle is one-sixth the measure of the supplement of the angle. What is the measure of the complement angle?A) 14° B) 16° C) 18° D) 20°

Accepted Solution

A:

Answer:Option C.The measure of the complement angle is [tex]18\°[/tex]Step-by-step explanation:Letx-----> the anglewe know thatThe complement of an angle is equal to [tex](90-x)\°[/tex]The supplement of an angle is equal to [tex](180-x)\°[/tex]we haveThe complement of an angle is one-sixth the measure of the supplement of the angle[tex](90-x)\°=(1/6)(180-x)\°[/tex]solve for x[tex](540-6x)\°=(180-x)\°\\ (6x-x)=(540-180)\°\\ (5x)=(360)\°\\ x=72\°[/tex]Find the measure of the complement angle[tex](90-x)\° ----> (90-72)=18\°[/tex]