Question

1. # If Two Angles Are Supplementary And One Of Them Is 30° What Is The Measurement Of The Second Angle

When it comes to figuring out the measurement of an angle, understanding what supplementary means is key. Supplementary angles are two angles that add up to 180°. This means that if one angle is known, the other can be easily determined. Knowing this concept can help you with many math problems and applications in everyday life. In this blog post, we’ll explore how to determine the measurement of a second angle when given one angle’s measurement and that they are supplementary. We’ll use an example of two angles being supplementary and one having a measure of 30° to illustrate this concept.

## What is Supplementary Angles?

Two angles are supplementary if the sum of their measures is 180 degrees. In other words, two angles are supplementary if they form a straight line. If one of the angles is known, we can find the measure of the other angle by subtracting the known angle from 180 degrees. For example, if one angle is 30 degrees, we can find the measure of the other angle by subtracting 30 degrees from 180 degrees. The measure of the other angle would be 150 degrees.

## The Two Types of Supplementary Angles

There are two types of supplementary angles: linear pairs and adjacent angles.

Linear pairs are two angles that are adjacent to each other and form a straight line. The measure of each angle in a linear pair is equal to the sum of the measures of the other two angles.

Adjacent angles are two angles that share a common vertex and side. The measure of each angle in an adjacent angle pair is equal to the difference of the measures of the other two angles.

## How to Solve for the Measurement of the Second Angle When Given One Angle

To solve for the measurement of the second angle when given one angle, you will need to use the equation:

180 degrees – Angle 1 = Angle 2

For example, if you are given an angle of 30 degrees, then:

180 degrees – 30 degrees = 150 degrees

## Examples

There are many examples of supplementary angles in real life. For instance, when two people are shaking hands, their arms form two supplementary angles. Other examples include:

-The legs of a person sitting down
-The arms of a person standing up
-The sides of a triangle

In each of these cases, the two angles are supplementary to each other.

## Conclusion

In conclusion, if two angles are supplementary and one of them is 30° then the measurement of the second angle must be 150°. Now that you understand this concept, you can use it to solve more complex equations with confidence. Remember that when two angles are supplementary they add up to 180° so if one angle is known, finding the other can be as simple as subtracting its value from 180°.

2. As the old adage goes, “Two angles are supplementary if the sum of their measurements is 180°”. In other words, if one angle is 30°, then the second angle must measure 150°.

It’s easy to remember that two angles are supplementary when they add up to 180°. Just think of it as one big angle split into two smaller angles. The two angles together make up the big angle, and the sum of the two smaller angles must equal the bigger angle.

In the case of two angles being supplementary and one being 30°, the second angle must measure 150°. This is because when you add the two angles together – 30° and 150° – you get 180°, the total measure of a supplementary angle.

So, to sum up: if two angles are supplementary and one of them is 30°, then the measurement of the second angle must be 150°.