Students can Download Maths Chapter 15 Quadrilaterals Ex 15.2 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.
Karnataka Board Class 8 Maths Chapter 15 Quadrilaterals Ex 15.2
Question 1.
In a trapezium PQRS, PQ || RS and ∠E= 70° and Q = 80° calculate the measure of ∠S and ∠R.
Answer:
∠P + ∠S = 180°
[adjacent angles correspondingto parallel sides 70° + ∠S = 180°]
∠S = 180 – 70
∠S = 110°
∠R + ∠Q = 180°
[adjacent angles corresponding to parallel sides ∠R + 80° = 180°]
∠R = 180 – 80
∠R = 100°
Question 2.
In trapezium ABCD, AB || CD. It is given that AD is not parallel to BC. Is ∆ABC ≅ ∆ADC ? Give reasons.
Answer:
∆ ABC and ∆ ADC are not congruent. It is not possible to show that they are congruent to each other by using any of the four congruence postulates.
Question 3.
In the figure, PQRS is an isosceles trapezium. ∠SRP = 30° and ∠POS = 40°. Calculate the angles ∠RPO and∠RSO.
Answer:
PQ || RS
∠PRS = ∠RPQ = 30° [Alternate angles]
∠RPQ = 30°
∠RSQ = ∠PQS = 40° [Alternate angles]
∠RSQ = 40°