What is linear angle?
what is adjacent angle?
Answers
Consider a wall clock , The minute hand and second hand of clock form one angle represented as ∠AOC and the hour hand forms another angle with the second hand represented as∠COB. Both these pair of angles i.e.∠AOC and ∠COB lies next to each other and are known as adjacent angles.
Adjacent Angles
∠AOC and ∠COB have a common vertex, a common arm and the uncommon arms lie on either side of the common arms. Such angles are known as adjacent angles.
Important:
Two angles are adjacent-angles, if
a) Share a common vertex
b) Share a common rays
c) Other rays of the two angles lie on opposite sides of the common ray
Adjacent Angles Example
Angles Not Adjacent
Adjacent Supplementary Angles
What is the sum of adjacent angles? The adjacent angles will have the common side and the common vertex. Two angles are said to be supplementary angles if the sum of both the angles is 180 degrees. If the two supplementary angles are adjacent to each other then they are called linear pair.
Sum of two adjacent supplementary angles = 180o.
Here are some examples of Adjacent angles:
Adjacent Angles Examples
Examples of Adjacent Angles
Linear Pair
Pair of adjacent angles whose measures add up to form a straight angle is known as a linear pair. The angles in a linear pair are supplementary.
Consider the following figure in which a ray OP−→− stand on the line segment AB¯¯¯¯¯¯¯¯ as shown:
Linear Pair
The angles ∠POB and ∠POA are formed at O. ∠POB and ∠POA are adjacent angles and they are supplementary i.e. ∠POB + ∠POA = ∠AOB = 180°
∠POB and ∠POA are adjacent to each other and when the sum of adjacent angles is 180° then such angles form a linear pair of angles.
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Answer:
A linear angle is a angle when two lines intersects each other..
A adjacent angle is a angle when two angles have common side and vertex which does not overlap..
I hope you get it ...
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