Question

How to find supplement and complement of the given angles​

Answer 1

Answer:

To determine the supplement, subtract the given angle from 180. 180 - 43 = 137° The supplement of 43° is 137°. To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°.

Answer 2

$\huge\bf{➟Complementary\:angles}$

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.

$\huge\bf{➟Supplementary\:angles}$

When the sum of two angles is 180°, then the angles are known as supplementary angles. In other words, if two angles add up, to form a straight angle, then those angles are referred to as supplementary angles.

The two angles form a linear angle, such that, if one angle is x, then the other the angle is 180 – x. The linearity here proves that the properties of the angles remain the same. Take the examples of trigonometric ratios such as;

• Sin (180 – A) = Sin A
• Cos (180 – A) = – Cos A (quadrant is changed)
• Tan (180 – A) = – Tan A