what is adjacent angles Related: Examples(NCERT):All Angles, Lines and Angles, Class 7 Math

Question

what is adjacent  angles Related:  Examples(NCERT):All Angles, Lines and Angles, Class 7 Math

Answer

The two angles are said to be adjacent angles when they share the common vertex and side. The endpoints of the ray form the side of an angle is called the vertex of a angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.
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Answer

Adjacent angles are two angles that have a common vertex and a common side. The vertex of an angle is the endpoint of the rays that form the sides of the angle. When we say common vertex and common side, we mean that the vertex point and the side are shared by the two angles.

Answer

Adjacent Angles:
Adjacent angles are two angles that have a common vertex and a common side between them. In simpler terms, they are angles that are next to each other. The common vertex is the point where the two angles meet, and the common side is the side that is shared by both angles.

Properties of Adjacent Angles:
1. The sum of the measures of adjacent angles is equal to the measure of the straight angle, which is 180 degrees.
2. If two angles are adjacent and their sum is equal to 180 degrees, then they are called a linear pair. A linear pair of angles form a straight line.

Example:
Let's consider two adjacent angles A and B. If angle A measures 60 degrees, then the measure of angle B can be found by subtracting the measure of angle A from 180 degrees (since they form a straight line).

Measure of angle B = 180 degrees - 60 degrees = 120 degrees

So, angle B measures 120 degrees. Since angle A and angle B are adjacent angles, they have a common vertex and a common side.

Importance of Adjacent Angles:
Adjacent angles are important in geometry as they help us understand the relationships between angles and lines. They are often used in solving problems related to angles, triangles, and polygons.

Examples(NCERT) involving Adjacent Angles:
1. Find the measure of two adjacent angles if one angle measures 30 degrees.
2. Determine the measure of a linear pair of angles if one angle measures 75 degrees.
3. Given that two angles are adjacent and their sum is 90 degrees, find the measures of the angles.
4. If the measure of one angle is 45 degrees, what is the measure of its adjacent angle?

By understanding the concept of adjacent angles and their properties, students can easily solve these types of problems and gain a deeper understanding of geometry.

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