Adjacent Angles
Two angles are said to be adjacent angles, if;
(i) they have a common vertex,
(ii) they have a common arm and
(iii) the other arms of the two angles lie on opposite sides of the common arm.
The given figure below shows a pair of adjacent angles:
(i) they have a common vertex (O).
(ii) they have a common arm (OB) and (iii) the other arms OA and OC of the two angles are on opposite sides of the common arm OB.
Explanation:
∠AOB and ∠BOC have the common vertex O. Also they have a common arm OB and their other arms OA and OC lie on the opposite sides of the common arm OB. Therefore, ∠AOB and ∠BOC are adjacent angles.
∠AOC and ∠AOB are not adjacent angles, because their other arms OC and OB are not on the opposite sides of the common arm OA.
Worked-out problems on adjacent angles:
Are the following angles adjacent? Give reasons.
Solution:
(a) ∠1 and ∠2 are not adjacent because they do not have a common arm.
(b) ∠1 and ∠2 are not adjacent because their interiors overlap.
(c) ∠1 and ∠2 are not adjacent because they do not have a common vertex.
(d) ∠1 and ∠2 are adjacent because they have a common arm, a common vertex and interiors do not overlap.
● Lines and Angles
Fundamental Geometrical Concepts
Some Geometric Terms and Results
Complementary and Supplementary Angles
Parallel and Transversal Lines
8th Grade Math Practice
From Adjacent Angles to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Word Problems on Area and Perimeter | Free Worksheet with Answers
Jul 26, 24 04:58 PM
word problems on area and perimeter -
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Jul 26, 24 04:37 PM
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find… -
Perimeter and Area of Irregular Figures | Solved Example Problems
Jul 26, 24 02:20 PM
Here we will get the ideas how to solve the problems on finding the perimeter and area of irregular figures. The figure PQRSTU is a hexagon. PS is a diagonal and QY, RO, TX and UZ are the respective d… -
Perimeter and Area of Plane Figures | Definition of Perimeter and Area
Jul 26, 24 11:50 AM
A plane figure is made of line segments or arcs of curves in a plane. It is a closed figure if the figure begins and ends at the same point. We are familiar with plane figures like squares, rectangles… -
5th Grade Math Problems | Table of Contents | Worksheets |Free Answers
Jul 26, 24 01:35 AM
In 5th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 5, every efforts has been made to introdu…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.