Artists use their knowledge of angles to sketch portraits and paintings.

Carpenters use angles to make chairs, tables and sofas.

Athletes use angles to enhance their performance.

Engineers and architects use angles for designs, roads, buildings and sporting facilities.

Since the numbers will always add up to or (multiples of ten) this is a problem where it is possible to practice the 'missing addend' approach to subtraction.

Knowledge of the vocabulary words complement and supplement are needed in addition to the arithmetic operation of subtraction. One angle is given and the student is asked to find the measure of the other angle.

Find the supplement to the given angle: This problem provides a picture with a straight angle cut into two adjacent angles.

Find the complement to the given angle: This problem provides a picture with a right angle cut into two adjacent angles.

There are two types of problems in this exercise: This exercise introduces complementary and supplementary angles. The topic Complementary and supplementary angles appears under the 7th grade (U.S.) Math Mission, 8th grade (U.S.) Math Mission, High school geometry Math Mission and Trigonometry Math Mission.

So, the measure of compliment of the angle is 30 degrees.7th grade (U.S.) Math Mission, 8th grade (U.S.) Math Mission, High school geometry Math Mission, Trigonometry Math Mission Then, the measure of complement of the angle is Given : The measure of supplement of the angle is equal to the twice the measure of the angle. Measure of supplement of the angle = 180 ° - x What is the measure in degrees, of the compliment of the angle? The measure of supplement of an angle is equal to the twice the measure of the angle. So, the measure of the smaller angle is 75 °. Given : The ratio of the measure of the smaller angle to that of the larger angle is 5 : 7.

What is the measure of the smaller angle? If the ratio of the measure of the smaller angle to that of the larger angle is 5:7. So, the measure of the angle is 24 degrees. Given : Twice the complement of an angle is 24 degrees less than its supplement.Ģ(90° - x) is 24 degrees less than (180° - x) Twice the complement of an angle is 24 degrees less than its supplement. So, the sum of supplement and complement of angle A is 190° degrees. The sum of supplement and complement of angle A is Given : The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle of A. What is the sum in degrees, of the measures of the supplement and complement of angle A? The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle of A. Given : 5 times of one angle is 10 times of the other angle. Get an grip on geometry with this helpful worksheet Your student will learn the difference between complementary and supplementary angles, with plenty of. If 5 times of one angle is 10 times of the other angle. Given : An angle and its one-half are complementary. Given : One angle is 36° less than twice of the other angle.Īn angle and its one-half are complementary. Let x and y be the two angles which are supplementary. If one angle is 36° less than twice of the other angle, find the two angles. So, the measure of the complementary angle is 45°. Given : The measure of an angle is 3/4 of 60°.īecause x and 45° are complementary angles, Let x be the measure of a complementary angle required.

$complementary and supplementary angle$

What is the measure of the complementary angle? Given : One angle is two times the sum of other angle and 3. Let x and y be the two angles which are complementary. If one angle is two times the sum of other angle and 3, find the two angles. If one of the angles is double the other angle, find the two angles.īecause x and 2x are complementary angles, we have