Revision 0.1. Show the difference between complem ent any angles and supplementary angles With example
Answers
Answer:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.
Step-by-step explanation:
hope it will help
Answer:
SUPPLEMENTARY ANGLE
Supplementary angles and complementary angles are defined with respect to the addition of two angles. If the sum of two angles is 180 degrees then they are said to be supplementary angles, which forms a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
When two line segments or lines meet at a common point (called vertex), at the point of intersection an angle is formed. When a ray is rotated about its endpoint, then the measure of its rotation in an anti-clockwise direction is the angle formed between its initial and final position.
COMPLEMENTARY ANGLE
When the sum of two angles is 90°, then the angles are known as complementary angles. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. Here we say that the two angles complement each other.
Suppose if one angle is x then the other angle will be 90o – x. Hence, we use these complementary angles for trigonometry ratios, where on ratio complement another ratio by 90 degrees such as;
sin (90°- A) = cos A and cos (90°- A) = sin A
tan (90°- A) = cot A and cot (90°- A) = tan A
sec (90°- A) = cosec A and cosec (90°- A) = sec A
Hence, you can see here the trigonometric ratio of the angles gets changed if they complement each other.