Find in Fig 3.33 if

NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 3. Understanding Quadrilaterals

Subject: Maths - Class 8^th

Q. No. 11 of Exercises 3.3

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11

Find in Fig 3.33 if

It is mentioned in the question that:

∠B + ∠C = 180° (Angles on the same side of transversal)

120^o + ∠C = 180°

∠C = 60°

11

Chapter Exercises

Exercises 3.1

Exercises 3.2

Exercises 3.3

Exercises 3.4

1

Given a parallelogram ABCD. Complete each statement along with the definition property used.

(i)

(ii)

(iii)

(iv)

2

Consider the following parallelogram. Find the values of the unknowns x, y, z
(i)

(ii)

(iii)

(iv)

(v)

3

Can a quadrilateral ABCD be a parallelogram if

(i) ∠D + ∠B = 180°?

(ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?

(iii) ∠A = 70° and ∠C = 65°?

4

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure

5

The measures of two adjacent angles of a parallelogram are in the ratio 3: 2. Find the measure of each of the angles of the parallelogram

6

Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram

7

The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them

8

The following figures GUNS and RUNS are parallelograms
Find x and y (Lengths are in cm)

(i)

(ii)

9

In the above figure both RISK and CLUE are parallelograms. Find the value of x.

10

Explain how this figure is a trapezium. Which of its two sides are parallel? (Fig 3.32)

11

Find in Fig 3.33 if

12

Find the measure of and if in Fig 3.34.

(If you find is there more than one method to find ?)