# Complementary and Supplementary Angles

Complementary and supplementary angles are fundamental concepts in geometry, essential for understanding the relationships between angles. Complementary angles add up to 90 degrees, while supplementary angles sum up to 180 degrees. These concepts play a crucial role in various mathematical and real-world applications, including trigonometry, engineering, and architectural design. Understanding complementary and supplementary angles is essential for solving problems involving angles and their measurements, providing a foundation for more advanced mathematical concepts and problem-solving strategies.

Questions

- Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 58.5 degrees. What are the measures of the small and large angle?
- The measures of two supplementary angles are in the ratio of 2:3. What are the measurements of the two angles?
- If 3 times the supplement of an angle is subtracted from 7 times the complement of the angle, the answer is the same as that obtained from trisecting a right angle. What is the supplement of this angle?
- A triangle has two corners of angles #pi /12# and #pi/12 #. What are the complement and supplement of the third corner?
- Two angles are supplementary. They have measures of (7x + 2)° and (3x - 2)° , respectively. What is the value of x?
- A triangle has two corners of angles #pi /6# and #(3pi)/8 #. What are the complement and supplement of the third corner?
- A triangle has two corners of angles #pi /12# and #(5pi)/12 #. What are the complement and supplement of the third corner?
- A triangle has two corners of angles #pi /6# and #(3pi)/4 #. What are the complement and supplement of the third corner?
- A triangle has two corners of angles #pi /6# and #(pi)/2 #. What are the complement and supplement of the third corner?
- A triangle has two corners of angles #pi /12# and #(7pi)/12 #. What are the complement and supplement of the third corner?
- Angle F and Angle G are supplementary. The measure of Angle G is six and one half times the measure of Angle F. What is the measure of Angle F?
- What is the measure of an angle whose measure is 50 more than the measure of its complement?
- A triangle has two corners of angles #pi /8# and #(7pi)/12 #. What are the complement and supplement of the third corner?
- If angle A and B are complementary and #A=5x+8# and #B=x+4#, what are the measurements of each angle?
- There are 2 supplementary angles and they are in the ratio of 3 to 2. What is the measure of the larger angle?
- Are adjacent angles in a parallelogram supplementary?
- A parallelogram has sides of length 36.4 centimeters and 21.5 centimeters. The lesser diagonal is 38.9 centimeters long. What are the interior angles of the parallelogram?
- A triangle has two corners of angles #pi /8# and #(2pi)/3 #. What are the complement and supplement of the third corner?
- How large is an angle whose supplement is three times its complement?
- Angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If #m/_A = 4x# and #m/_B = 3x+7#, what is the value of #x#?