Assertion: The bisectors of the angles of a linear pair is at right angles. *Reason: If the sum of two adjacent angles is 180°, then tha non common arms of the angles are in tha straight line.
a) assertion and reason are both true and explanation is correct
b) assertion and reasons are true but the explanation is false
c) only assertion is true
d)only reason is true
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Answers
Given : Assertion: The bisectors of the angles of a linear pair is at right angles.
*Reason: If the sum of two adjacent angles is 180°, then tha non common arms of the angles are in tha straight line.
To Find : Correct option
Solution:
Assertion: The bisectors of the angles of a linear pair is at right angles.
Let say two angles with measure x and y form a linear pair
Hence x + y = 180°
Measure of The bisectors of the angles will be x/2 and y/2
Hence their sum = x/2 + y/2
= (x + y)/2
= (180°)/2
= 90°
Right angle
Hence Assertion is correct
Reason: If the sum of two adjacent angles is 180°, then tha non common arms of the angles are in the straight line.
Reason is True
But not the correct explanation of Assertion
assertion and reasons are true but the explanation is not correct reason
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