Adjacent Angles

What are Adjacent Angles?

Adjacent angles are the angles having common vertex or common side. They are directly next to each other and do not overlap.

How are Adjacent Angles different from Vertical Angles?

Adjacent angles are angles that share a common vertex and side and are positioned next to each other. Vertical angles, on the other hand, are a specific type of adjacent angles formed when two lines intersect. They are opposite to each other and share a common vertex.

Can Adjacent Angles be Complementary or Supplementary?

Yes, adjacent angles can be either complementary or supplementary, depending on the sum of their measures. If the sum of two adjacent angles is 90°, they are complementary. If the sum is 180°, they are supplementary.

How are Adjacent Angles used in Real-World Applications?

Adjacent angles find practical applications in various fields, including architecture, engineering, surveying, navigation, traffic engineering, and trigonometry. They are used to ensure accurate measurements, design structures, and solve problems related to angles and directions.

What is difference between Adjacent Angle and Vertical Angles?

Adjacent Angles are different from Vertical Angles in the manner that in Adjacent angle one side is common while in vertical angles there is no common arms.

Are Vertical Angles always Congruent?

Yes, vertical angles are always congruent, meaning they have the same measure. If two lines intersect to form vertical angles, those angles will have equal measures.

Are Adjacent Angles always Congruent?

No, the adjacent angles are not always congruent. They may or may not be congruent.



What is Adjacent Angle in Geometry?

Adjacent Angles are the angles that have a common vertex, a common arm, and the rest two arms lie on either side of the common arm. Angles are particularly important in ge­ometry as they help de­fine and understand different geometric figures and their characteristics. Geome­try is a branch of mathematics that focuses on shapes, size­s, and angles. A key concept within ge­ometry is adjacent angles. Understanding adjacent angles helps us grasp the geometry of lines, polygons, and other shapes.

In this particular article, we are going to learn about adjacent angles, their definitions, their properties, and some examples and we will also practice some questions on it.

Table of Content

  • What is an Adjacent angle?
  • Properties of Adjacent Angle
  • Adjacent Angles in Parallelogram
  • Supplementary Adjacent Angles
  • Complementary and Adjacent Angles
  • Non-adjacent angles

Similar Reads

What is an Adjacent angle?

Adjacent angles are a pair of angles that share a common vertex and a common side but do not overlap. In simpler terms, they are angles that are side by side, touching at a single point, and not overlapping or intersecting....

Properties of Adjacent Angle

The properties of Adjacent Angle in ge­ometry are mentioned below:...

How to Identify Adjacent Angles?

We can identify adjacent angles, by using following steps [in no specific order]:...

Adjacent Angles in Parallelogram

In a parallelogram, two pairs of opposite angles are formed. Adjacent angles are those angles that share a common vertex and a common side, but they are not opposite angles....

Supplementary Adjacent Angles

Supplementary adjacent angles are pairs of adjacent angles whose measures add up to 180°. In other words, when two angles are supplementary, they form a straight line. However, in case of quadrilaterals such as parallelogramThis property is commonly observed in various geometric figures, including parallelograms, straight lines, and sometimes in triangles....

Complementary and Adjacent Angles

Complementary angles and adjacent angles are two different concepts in geometry....

Non-Adjacent Angles

Non-adjacent angles are angles that are not next to each other and do not share a common side or vertex. They are also referred to as “non-adjacent supplementary angles” when their measures add up to 180°. Non-adjacent angles can be found in various geometric shapes and configurations....

Conclusion

In conclusion, understanding adjacent angles is key in geometry. Recognizing angles that share a corner and a side helps solve geometric puzzles. Mastering this idea helps in both math and real life. So, keep spotting adjacent angles for better geometry skills and problem-solving!...

Solved Examples on Adjacent Angle

Example 1: Find the measures of two complementary adjacent angles if one angle measures 45°....

Practice Questions on Adjacent Angles

Q1. In a straight line, if one angle measures 40°, what is the measure of the adjacent angle?...

Adjacent Angles – FAQs

What are Adjacent Angles?...