Mathematics
##### ASSERTION

$a$ and $b$ are forming a linear pair.

##### REASON

$a$ and $b$ are forming a pair of adjacent angles.

Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

##### SOLUTION
As we see, $\angle AOC$ and $\angle BOC$ have a common vertex $O$. So, $a$ and $b$ are adjacent angles
And $OB$ and $OA$ are opposite rays.
So, $a$ and $b$ are linear pair that means their sum is $180^{\circ}$.
But, adjacent angles does not necessarily add up to give $180^{\circ}$, it can give any sum.
So, reason is not correct explanation.
Hence, option $B$ is correct.

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Assertion & Reason Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

#### Realted Questions

Q1 Single Correct Medium
In fig. lines AB and CD intersects each other at O. If $\displaystyle \angle AOC={ 30 }^{ o }$, find $\displaystyle \angle BOD$.
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• C. $\displaystyle { 75 }^{ o }$
• D. $\displaystyle { 30 }^{ o }$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 One Word Medium
If sum of measures of two angles is $90^{o}$, then the angles are ______.

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Q3 Subjective Medium
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Asked in: Mathematics - Lines and Angles

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Q4 Subjective Medium
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Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
Write the complement angle of:
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Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020