Question

Choose the correct option for the following statement.
Assertion : The bisectors of the angles of a linear pair at right angles.
Reason : If the sum of two adjacent angles is 180 degrees, then the non-common arms of the angles are i a straight line.
Option (a) Both assertion and reason are true and reason is the correct explanation of assertion.
Option (b) Both assertion and reason are true but reason is not the correct explanation of assertion.
Option (c) Assertion is true but reason is false.
Option (d) Assertion is false but reason is true​

Answer 1

Answer:

(b) Both assertion and reason are true but reason is not the correct explanation of assertion.

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Answer 2

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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14. Angles x&y forms a linear pair and x+2y = 30°, the value of y

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