Class 8 Maths NCERT Understanding Quadrilaterals Chapter 3 Exercise 3.1
NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.1
Question 1.
In the given figure, ABCD is a parallelogram. Find x.
Solution:
AB = DC [Opposite sides of a parallelogram]
3x + 5 = 5x – 1
⇒ 3x – 5x = -1 – 5
⇒ -2x = -6
⇒ x = 3
Question 2.
In the given figure find x + y + z.
Solution:
We know that the sum of all the exterior angles of a polygon = 360°
x + y + z = 360°
Question 3.
In the given figure, find x.
Solution:
∠A + ∠B + ∠C = 180° [Angle sum property]
(x + 10)° + (3x + 5)° + (2x + 15)° = 180°
⇒ x + 10 + 3x + 5 + 2x + 15 = 180
⇒ 6x + 30 = 180
⇒ 6x = 180 – 30
⇒ 6x = 150
⇒ x = 25