1) If A = { 1, 2, 3, 4} and U = { 1, 2, 3, 4, 5, 6, 7, 8} then find A complement ( A’). Complement of set A contains the elements present in universal set but not in set A. Elements are 5, 6, 7, 8. ∴ A complement = A’ = { 5, 6, 7, 8}.

67 degrees

47°

Complementary of 41º=90º−41º=49º Complementary of 54º=90º−54º=36º

The complement is the amount you must add to something to make it “whole”. For example, in geometry, two angles are said to be complementary when they add up to 90°. One angle is said to be the complement of the other.

To find the complement of an angle, subtract that angle’s measurement from 90 degrees. The result will be the complement. The measure of the complementary angle is 50 degrees.

Complementary angles add up to 90 degrees, so the complement of a 45 degree angle is also a 45 degree angle.

The complement of a 90° angle is a 0° angle.

How to find Complement of an Angle? We know that the sum of two complementary angles is 90 degrees and each of them is said to be a “complement” of each other. Thus, the complement of an angle is found by subtracting it from 90 degrees. The complement of x° is 90-x°.

In 1 hour, the minute hand turns by a complete angle, i.e., 360˚ or 360˚/90˚ = 4 right angles.

By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.