Page 168 - Maths Skills - 8

166 Maths

4. In given Fig., PQRS is a parallelogram in which ∠SPO = 50°, ∠OPQ = 30°
and ∠SOR = 110°

Find: (i) ∠PQO (ii) ∠OSR
(iii) ∠QRO (iv) ∠RQS

5. The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. Find the measure of the angles.

6. In given Fig., LMNO and LCBA are each a parallelogram.
If ∠M = 75°, calculate:

(i) ∠LAB
(ii) ∠ABC

7. ABCD is a parallelogram. If the ratio of the two sides is 3 : 2 and perimeter is 120 m, then find the
lengths of the sides of the parallelogram.
8. The perimeter of a parallelogram is 170 cm. One of its sides is 5 cm more than the other. Find the sides
of the parallelogram.

9. An angle of a parallelogram is 20° more than the adjacent angle. Find the measures of all the angles.
[Hint: Sum of adjacent angles of a parallelogram is 180°.]

10. One angle of a parallelogram is 60°. Find the measures of all the remaining angles.

ASSESSMENT TIME

5. A quadrilateral with only one pair of parallel
COMPETENCY BASED QUESTIONS
sides is called a:
A. Multiple-Choice Questions (i) parallelogram (ii) trapezium
1. A quadrilateral in which both pairs of opposite
sides are parallel and equal is called: (iii) rhombus (iv) rectangle
(i) a trapezium (ii) a rhombus B. Fill in the Blanks
(iii) a parallelogram (iv) none of these 1. A parallelogram in which opposite sides are

2. A quadrilateral in which the measure of each equal and each angle is a right angle is called a
angle is less than 180° is: ______________.

(i) a concave quadrilateral 2. A rhombus in which all angles are right angles is
(ii) a convex quadrilateral called a ______________.
(iii) both (i) & (ii) (iv) none of these 3. A quadrilateral with two pairs of equal adjacent

3. A parallelogram having all sides equal is called: sides is called a _______________.
(i) a trapezium (ii) a rhombus 4. The opposite angles of a parallelogram are
(iii) a rectangle (iv) none of these ________________.
4. The sum of all the angles of a quadrilateral is: 5. The adjacent angles of a parallelogram are

(i) 90° (ii) 180° ________________.
(iii) 270° (iv) 360°