Get solutions of RS Aggarwal Class 8 Chapter 15 Quadrilaterals Exercise 15 Solution.
RS Aggarwal Class 8 Ex. 15 Solutions
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1: Fill in the blanks:
(i) A quadrilateral has 4 sides.
(ii) A quadrilateral has 4 angles.
(iii) A quadrilateral has 4 vertices, no three of which are collinear.
(iv) A quadrilateral has 2 diagonals.
(v) A diagonal of a quadrilateral is a line segment that joins two opposite vertices of the quadrilateral.
(vi) The sum of the angles of a quadrilateral is 3600.
2: In the adjoining figure, ABCD is a quadrilateral,
(i) How many pairs of adjacent sides are there? Name them.
Solution (i):
Four pairs (AB, BC), (BC, CD), (CD, DA) and (DA, AB)
(ii) How many pairs of opposite side are there? Name them.
Solution (ii):
Two, pairs of sides AB and CD, other pair BC and AD.
(iii) How many pairs of adjacent angles are there? Name them.
Solution (iii):
Four pairs, (∠A,∠B), (∠B,∠C), (∠C,∠D) and (∠D,∠A)
(iv) How many pairs of opposite angles are there? Name them.
Solution (iv):
Two pairs, (∠A,∠C) and (∠B,∠D)
(v) How many diagonals are there? Name them.
Solution (v):
Two diagonals, AC and BD.
3: Prove that the sum of the angles of a quadrilateral is 3600.
4: The three angles of a quadrilateral are 760, 540 and 1080. Find the measure of the fourth angle.
5: The angles of a quadrilateral are in the ratio 3 : 5: 7: 9. Find the measure of each of these angles.
6: A quadrilateral has three acute angles, each measuring 750. Find the measure of the fourth angle.
7: three angles of a quadrilateral are equal and the measure of the fourth angle is 1200. Find the measure of each of the equal angles.
8: Two angles of a quadrilateral measures 850 and 750 respectively. The other two angles are equal. Find the measure of each of these equal angles.
9: In the adjacent figure, the bisectors of ∠A and ∠B meet in a point P. If ∠C= 1000 and ∠D= 600, find the measure of ∠APB.
