Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, determine ∠B.

Solution:

It is given that

Diagonals of a quadrilateral ABCD bisect each other, so it is a parallelogram

∠A = 35º

As the sum of interior angles between two parallel lines is 180º

∠A + ∠B = 180º

Substituting the values

35º + ∠B = 180º

∠B = 180º - 35º

So we get

∠B = 145º

Therefore, ∠B = 145º.

✦ Try This: Diagonals of a quadrilateral PQRS bisect each other. If ∠P = 45º, determine ∠Q.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8

NCERT Exemplar Class 9 Maths Exercise 8.2 Problem 13

Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, determine ∠B.

Summary:

A quadrilateral is a polygon with four sides, four angles and four vertices. Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35º, ∠B = 145º

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