![]() ![]() Two angles are complementary if one of them measures 0 degrees.If one angle measures 20 degrees, then the other angle must measure 70 degrees, since 20 + 70 = 90.If one angle measures 80 degrees, then the other angle must measure 10 degrees, since 80 + 10 = 90.If one angle measures 45 degrees, then the other angle must measure 45 degrees as well, since 45 + 45 = 90. ![]() The other angle must measure 60 degrees, since 30 + 60 = 90. Two angles are complementary if one of them measures 30 degrees.Complementary angles are commonly represented by the symbol “?” or “?” in mathematical equations. In other words, if you add the measure of one angle to the measure of another angle, the result will always be 90 degrees. We can also use complementary angles to study the behavior of light waves and electromagnetic radiation, and to solve problems related to angles, triangles, and circles.Ĭomplementary angles are two angles whose sum is 90 degrees. By understanding the relationship between complementary angles, we can design and construct buildings, machines, and devices that are stable, durable, and efficient. They are an important concept in geometry and have several applications in real life. For example, if we know the measure of one angle in a right triangle, we can use complementary angles to find the measure of the other two angles.Ĭomplementary angles are two angles whose measures add up to 90 degrees. They are used to solve problems related to angles, triangles, and circles. Mathematics: Complementary angles are an important concept in geometry and trigonometry.By understanding the properties of complementary angles, they can develop new technologies such as lasers and fiber optic cables. Physics: Physicists use complementary angles to study the behavior of light waves and electromagnetic radiation.For example, they may use complementary angles to design gears that mesh together to transmit torque and power. Engineering: Engineers use complementary angles to design and construct machines and devices that perform specific tasks.By understanding the relationship between complementary angles, they can create structures that are stable and durable. Architecture: Architects use complementary angles to design buildings and structures that can withstand external forces such as wind, rain, and earthquakes.They are used in fields such as architecture, engineering, and physics, among others. For example, if angle C is a right angle, then we can find its complementary angle by subtracting the measure of angle C from 90 degrees:Ĭomplementary angle of C = 90 degrees – measure of angle CĬomplementary angles have several applications in real life. If we have a right angle, then we know that it is composed of two complementary angles. Therefore, angle B is the complement of angle A.Ĭomplementary angles can also be identified using a right angle. If the measure of angle A is 60 degrees, then we can find the measure of angle B by subtracting 60 degrees from 90 degrees:Īngle B = 90 degrees – 60 degrees = 30 degrees For example, let’s say we have angle A and angle B. If the sum of two angles equals 90 degrees, then they are complementary. To identify complementary angles, we need to know the sum of the measures of the two angles. We can say that a right angle is composed of two complementary angles. When two lines intersect at a right angle, they form four right angles, each measuring 90 degrees. A right angle is an angle that measures exactly 90 degrees and is denoted by the symbol “?”. In simple terms, complementary angles are like puzzle pieces that fit together to form a right angle. We can also say that angle A is the complement of angle B and vice versa. For example, if angle A measures 40 degrees, angle B measures 50 degrees, then angles A and B are complementary because 40+50=90 degrees. In this article, we will explore what complementary angles are, how to identify them, and their applications in real life.Ĭomplementary angles are two angles whose measures add up to 90 degrees. When two angles add up to 90 degrees, they are known as complementary angles. It is commonly measured in degrees or radians, with a full rotation being equivalent to 360 degrees or 2? radians. In geometry, an angle is a measure of the amount of rotation between two intersecting lines or surfaces. ![]()
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