Question

Assertion: The value of x from the adjoining figure, if ℓ || m is 15º.
Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.​

Answer 1

Given :

Assertion: The value of x from the adjoining figure, if ℓ || m is 15º.

Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.​

To Find : Comments on Assertion and Reason

Solution:

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent.  ( Equal in Measure)

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Co-Interior angles are supplementary. ( adds up to 180°)

Reason: If two parallel lines are intersected by a transversal, then each pair of corresponding angles so formed is equal.​

TRUE

5x and 120° -x  are Co-Interior angles Hence supplementary. ( adds up to 180°)

=> 5x + 120° -x = 180°

=> 4x = 60°

=> x = 15°

Hence Assertion is also True

But  angles given are  co interior angles not corresponding angles.

Hence Both Assertion and Reason are True but reason is not the correct explanation of Assertion

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