1) Always, Sometimes. or Never, given any angle, can you have the:
a) complement of a supplement
b) supplement of a complement
c) complement of a complement
d) supplement of a supplement
2) Always, Sometimes. or Never
a) A linear pair of angles are congruent.
b) The complement of the supplement of an angle is an obtuse angle.
c) Vertical angles are supplementary.
4) Five times the complement of an angle exceeds twice its supplement by \(15^{\circ}\). Find the complement of the angle.
5) Half of the supplement of an angle is \(30^{\circ}\) more than its complement. Find the supplement of the angle.
6) The supplement of an angle is \(45^{\circ}\) less than twice the supplement of the complement of the angle. Find the measure of the complement.
7) The sum of the measures of a complement and a supplement of an angle is \(194^{\circ}\). Find the measure of the angle.
8) If three times the supplement of an angle is added to seven times the complement of the angle, the sum equals four straight angles. Find the measure of the angle.
9) The difference between the supplement of an angle and the complement of the angle is \(40^{\circ}\) less than the supplement to the complement of the angle. Find the measure of the supplement to the complement of the angle.
10) Two angles are such that the ratio of the measures of their complements is \(1\) to \( 2\), while the ratio of the measures of their supplements is \(4\) to \(5\). Find the supplement to the complement of the smaller of the two angles.
Solution Bank
5) Half of the supplement of an angle is \(30^{\circ}\) more than its complement. Find the supplement of the angle.
6) The supplement of an angle is \(45^{\circ}\) less than twice the supplement of the complement of the angle. Find the measure of the complement.
7) The sum of the measures of a complement and a supplement of an angle is \(194^{\circ}\). Find the measure of the angle.
8) If three times the supplement of an angle is added to seven times the complement of the angle, the sum equals four straight angles. Find the measure of the angle.
9) The difference between the supplement of an angle and the complement of the angle is \(40^{\circ}\) less than the supplement to the complement of the angle. Find the measure of the supplement to the complement of the angle.
10) Two angles are such that the ratio of the measures of their complements is \(1\) to \( 2\), while the ratio of the measures of their supplements is \(4\) to \(5\). Find the supplement to the complement of the smaller of the two angles.
Solution Bank