NCERT Class 8 Mathematics Solutions: Chapter 3 – Understanding Quadrilaterals Exercise 3.3 Part 6 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get top class preparation for CBSE/Class-8 right from your home: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-8.

Given this Figure PQRS is Inscribed in a Circle

Question: 10 Explain how this figure is a trapezium. Which is its two sides are parallel?

Image:

Given Figure is Trapezium

Answer:

Here, [Sum of interior opposite angles is ]

Hence, KLMN is a trapezium.

Question: 11 Find in figure if AB || DC?

Image

A Figure is Quadrilateral and Find Value of Angle C

Answer:

Here,

Hence, the measure of .

Question: 12 Find the measure of ∠ P and ∠ S if SP || RQ in Figure. (If you find , is there more than one method to find ?)

Image

In Given Quadrilateral Find ∠ Pand ∠ S

Answer:

Here,

Also,

Yes, one more method to find .

PQRS is a quadrilateral. Sum of measures of all angles is 360°.

So, we know the measurement of ∠ Q, ∠ R and ∠ S.

[Angle sum property of quadrilateral]

Developed by: