NCERT Class 9 Solutions: Triangles (Chapter 7) Exercise 7.2 – Part 4 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Interior Angle

Give Interior Angle

When two lines are cut by a third line (transversal) , then the angles formed inside the lines are called Interior Angles.

Q-7 ABC is a right-angled triangle in which and . Find and

Solution:

ABC is a Right-Angled Triangle

Given, and

Now, (Angles opposite to the equal sides are equal.)

Now, (Sum of the interior angles of the triangle.) ()

Thus,

Q-8 Show that the angles of an equilateral triangle are each.

Solution:

ABC be an Equilateral Triangle

Give, ABC be an equilateral triangle. (Length of all sides is same) (Sides opposite to the equal angles are equal.)

Also, (Sum of the angles of the triangle.)

()

Therefore,

Thus, the angles of an equilateral triangle are each.

Developed by: