NCERT Class 9 Solutions: Line and Angles (Chapter 6) Exercise 6.3 – Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Figure of Alternate Interior Angles

Alternate Interior Angles: When two lines are crossed by another line (called the Transversal) : The pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles.

Q-3 In give figure, if , find

Two Parallel Line AB and DE

Solution,

Given, and

Now,

(Alternate interior angles)

Now,

(Sum of the interior angles of the triangle)

Q-4 In the figure, if lines PQ and ₹ intersect at point T, such that find ∠ SQT.

Line PQ and ₹ is Intersect

Solution:

Given,

Now,

(Sum of the interior angles of the triangle) (Vertically opposite angles)

Now,

(Sum of the interior angles of the triangle)