Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between $∠$ FAG and $∠$ MBD?

alternate exterior angles

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alternate interior angles

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corresponding angles

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vertically opposite angles

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Solution

The correct option is B
alternate interior angles

Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In above figure, $∠$ FAG and $∠$ MBD are alternate interior angles.

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Similar questions

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between $∠$ FAG and $∠$ MBD?

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ii) Now, with the same radius and A as the centre, an arc FG is drawn (as shown in the figure).

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[4 MARKS]

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as centre an arc FG is drawn (as shown in the figure).

What is the relation between $∠$ FAG and $∠$ MBD?

In the given diagram, $∠$ XOB and $∠$ OOQ are called ________.

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