Maths coaching is an important part of a student’s life. It helps to solve the problems of Maths easily. It also helps the student to increase their abilities. Maths is a subject where students will face many difficulties while solving problems. So, they need coaching from experts who will help them in solving the problem very easily and also help to make their studies very easy for them. So, all students need to take up maths coaching for their future benefit. Corresponding angles are important for students to understand, so they must practice daily. This helps them to understand and know the concepts very clearly.

## Corresponding Angles Definition

Corresponding angles are the angles that are formed on the same side of a transversal. Specifically, two pairs of corresponding angles can be created when a transversal intersects with two parallel lines. These pairs of corresponding angles are equal to each other, which means that if angle 1 is congruent to angle 2, then angle 3 will be congruent to angle 4.

Corresponding angles are when two lines are crossed by a third line (called a Transversal) and the angle in the same position is equal to each other.

**Example 1: **The measures of two angles are given. Find the measure of their non-common sides.**Solution : **** **Given, ∠A = 50°, ∠B = 80°

To find: ∠C

Steps for Solution:

Step 1: The sum of all three angles of a triangle is 180°.

Step 2: Find the measure of the third angle using the formula 180° – (∠ A + ∠ B).

Step 3: Determine the measure of ∠ C.

**Example 2:** Corresponding angle in same plane and on same side of transversal Line

- Consider two parallel lines l and m that intersect by a transversal line t at point O.
- Suppose one pair of angles are congruent and on the same side of the transversal line then they are called corresponding angles.
- In this case, ∠AOC and ∠BOD are corresponding angles because they are on the same side of transversal line t and have

## Understanding the Angles

It is important to understand that corresponding angles are always congruent, as they have equal measures. Corresponding angles are useful in solving geometry problems and can be formed using both vertical and alternate interior angles.

### Forming Corresponding Angles:

**Vertical Angles:** Vertical angles are two pairs of congruent angles, which share a common vertex and are formed by intersecting lines. Vertical angles are always congruent, i.e., they have the same angle measure (in degrees). The four angles that are formed by two intersecting straight lines are congruent to each other.

**Alternate Interior Angles:** Alternate interior angles, also known as ‘consecutive interior angles’, are a pair of non-adjacent angles that lie on the same side of the transversal line and between the parallel lines. Like vertical angles, alternate interior angles also share a common vertex and are formed by intersecting lines. Also, alternate interior angles

## Working with the Angles

You can draw angles using a protractor:

- Draw any straight line and mark two points A and B on it.
- Draw another line through point A and make an angle with the first line at point A, let the angle be of any measure.
- Place the protractor such that one side of it coincides with the first line (the base) and its centre coincides with point A.
- Find the measure of this angle by lining up 0° of your protractor with the base, then reading off how many degrees are between 0° and where your second ray crosses the scale on your protractor’s semicircle. In this case, your angle is about 30°, so you could write “Angle ABC = 30°” in your notebook or wherever you’re keeping track of what you’re doing in this problem.

Maths is a subject where students will face many difficulties while solving problems. Cuemath is here to help you, where you get all the solution of your difficult problem with fun and interesting way.

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