![]() 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. 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. 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 The sum of all 3 interior angles of a triangle is equal to 180°. Solved Examples On AnglesĮxample 1: Find missing angle x in the figure.Įxample 3: In a triangle ABC, ∠A = 90 and ∠B = 30. There are many daily life examples of an angle, such as cloth-hangers, arrowheads, scissors, partly opened doors, pyramids, edge of a table, the edge of a ruler, etc. Wall clocks use the concept of angles to show time with hour and minute hands.Artists use their measurement knowledge to sketch or create art pieces.Carpenters use it to make equipment like doors, chairs, sofas, tables, etc.Athletes use its concept in sports to enhance their performance.Engineers construct buildings, bridges, houses, monuments, etc., using angle measurement.Mark the degree of the angle made where two sides of the straight line intersect.Draw a straight line joining those two points, O and B.Now mark the point as B on the top circular part of a protractor, according to the preferred angle for example 40°.Now, place the protractor at that point, and its midpoint should touch the marked point O.How to Construct an Angle (using protractor) Here, ∠AXD and ∠CXD are supplementary angles. Supplementary angles: Angles that add up to 180° (a straight angle) are called supplementary angles. Here, ∠BXC and ∠CXD are complementary angles. Complementary and Supplementary Angles:Ĭomplementary angles: Angles that add up to 90° (a right angle) are called complementary angles. Here, ∠ABC, ∠BCA and ∠CAB are interior angles.Įxterior angles: Exterior angles are the angles formed outside a shape, between any side of a shape and an extended adjacent side. Interior angles: Interior Angles are the angles formed within or inside a shape. A reflex angle measures between 180°- 360°.An angle measuring exactly 180° is a straight angle.A right angle precisely measures 90° at the vertex.An obtuse angle is between 90° and 180°.An acute angle measures less than 90° at the vertex.In the given diagram below, OA is the terminal side.īased on their measurements, here are the different types of angles: Terminal Side: The side up to which the angle measurement is done.Initial Side: Also known as the reference line, a straight line from where an angle is drawn.Arms: The two sides of the angle, joined at a common endpoint.Vertex: A vertex is a corner of an angle, a point where two lines/sides meet.
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