In the Adjoining Figure, Each Angle is Shown by a Letter. Fill in the Boxes with the Help of the Figure. - Mathematics

Sum

In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.

Corresponding angles.

(1) ∠p and  ____
(2) ∠q and  ____
(3) ∠r and  ____
(4) ∠ s and _____ Interior alternate angles.
(5) ∠s and  _____
(6) ∠w and _____

Solution

Corresponding angles :  If the arms on the transversal of a pair of angles are in the same direction and the other arms are on the same side of  transversal, then it is called a pair of corresponding angles.

Corresponding angles

(1) ∠p and ∠w
(2) ∠q and ∠x
(3) ∠r and ∠y
(4) ∠s and ∠z

Alternate interior angles : A pair of angles which are on the opposite side of the transversal and inside the given lines that are intersected by the transversal.

Interior alternate angles

(5) ∠s and ∠x
(6) ∠w and ∠r

Concept: Pairs of Lines - Transversal
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APPEARS IN

Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 2 Parallel lines and transversals
Practice Set 2.1 | Q 1 | Page 8