In figure, if AB || CD || EE, PQ || RS, ∠RQD = 25° and ∠CQP = 60°, then ∠QRS is equal to 2x° = 105° ∠3 = ∠1 = 60° (a) 40°              (b) 50°                (c) 60°                          (d) 70° 2. Question 2: ∠C = 3x = 3 x 20° = 60° Therefore, option (B) is the correct answer. In Fig. Let one of interior angle be x°. Solution: It implies that these are corresponding angles. Solution: (iv) and (v) in Eq. Let the angles of a triangle be ∠A, ∠B and ∠C. In the figure, BA || ED and BC || EF. A transversal intersects two parallel lines. (d) Let angles of a triangle  be ∠A, ∠B and ∠C. None, the sum of given angles = 45° + 64° + 72° = 181° ≠ 180°. Therefore, the value of x + y should be equal to 180° for ABC to be a line. NCERT Solutions for class 9 Maths Chapter 6 Exercise 6.1, 6.2 and 6.3 Lines and angles in English Medium as well as Hindi Medium in PDF form as well as study online options are given for academic session 2020-21. In the figure, BA || ED and BC || EF. Solution: Question 1: Show that ∠ABC + ∠DEF = 180°. So, alternate interior angles are equal. Mathematics NCERT Grade 9, Chapter 6: Lines and Angles: In this chapter students will study the properties of the angle formed when two lines intersect each other and properties of the angle formed when a line intersects two or more parallel lines at distinct points.The chapter starts from zero level, the first topic of the chapter being Basic Terms and Definitions. NCERT 9 Mathematics Exemplar Problem Text book Solutions.Ncert Mathematics class 9 exemplar solutions PDF and Mathematics ncert class 9 PDF exemplar problems and solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide. NCERT Exemplar Class 9 Maths Unit 6 Lines and Angles. Hence, the smallest angle of a triangle is 40°. (a) 50°                (b) 65°                 (c) 145°                 (d) 155° But from Eq. No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°. Suppose two angles are ∠B = 90° and ∠C = 90°. Can a triangle have two obtuse angles? (c) an equilateral triangle         (d) a right triangle NCERT Class 9 Maths Lines And Angles Questions. => ∠ACB = ∠BAL ∠A+∠A = 180° => 2 ∠A = 180° Answers to each question has been solved with Video. Therefore, a triangle cannot have two obtuse angles. With this article, students can download the complete PDF of the chapter. Question 8: ∴ ∠AOB = 180° Construction Draw a ray PE opposite to ray EF. 4. => 2 ∠PAB = 2 ∠ABQ [multiplying both sides by 2] Prove that . Give reason for your answer. Class 9 Maths Chapter 6 Lines and Angles Exercise 6.3 Questions with Solutions to help you to revise complete Syllabus and Score More marks. ∠B = 3x= 3 x 12°= 36° In the given figure, bisectors AP and BQ of the alternate interior angles are parallel, then show that l ||m. An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Question 3: A line with two endpoints refers to a line segment whereas a ray is a part of a line with one endpoint. OD and OE are the bisector of ∠AOC and ∠BOC. We have from the figure ∠1 = 60° and ∠6 = 120°, Here, ∠1 = ∠3 [since they are vertically opposite angles]. 9x = 180° Solution: Basic terms like line-segment, collinear points, non-collinear points, … ∠C = 3x , ∠A+∠B+ ∠C= 180° You should get good marks in Class 9 examinations as it will always help you to get good rank in school. In the given figure, l || m and we know that, if a transversal intersects two parallel lines, then sum of interior angles on the same side of a transversal is supplementary. Question 5: This chapter is divided into two parts in the first part the students will learn about lines and in the second part, the students will learn about different angles. The value of x is OS is another ray lying between rays OP and OR. Prove that the bisectors of any pair of corresponding angles so formed are parallel. Show that ∠ABC = ∠DEF [Hint: Produce DE to intersect BC at P (say)]. ∠BAC + ∠ACB + ∠ABC = 180° Multiple Choice Questions for Cbse Class 9 Maths Identify Trapezoids Lines And Angles Angles And Properties Probability Probability Number System Rational Number Also, EP and FQ are the bisectors of angles ∠APG and  ∠CQP, respectively. NCERT Exemplar Class 9 Maths. ⇒ If the sum of two adjacent angles is 180°, then a ray stands on a line. Also given, AB||DP and BC is the transversal, ∠DPC = ∠ABC …(eq.2) [Corresponding angles]. So, sum of two interior angles is supplementary. 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Question 10: Let us take 59o, which is the highest natural number less than 60o. Question 1. ∠1 = ∠2 = 90° [∴ l ⊥ n and min] Question 1: Hence, the angles satisfy the angle sum property of a triangle. NCERT Exemplar for Class 9 Maths Chapter 6 With Solution | Lines and Angles. Copies of these textbooks may be downloaded and used as textbooks or for reference. Question 6: The type of questions that will be asked from NCERT Class 9 Maths Unit 6 are displayed in the below provided NCERT Exemplar Class 9 Maths Unit 6. In the figure, if OP || RS, ∠OPQ = 110° and ∠QRS = 130°, then ∠PQR is equal to 4. Thus, our assumption is wrong. ∠BAC + ∠ABC = ∠ALC + ∠ABL …(iii) 1. Question 6: NCERT Exemplar Class 9 Maths Solutions will give you a thorough understanding of Maths concepts as per the CBSE exam pattern. 5. Question 7: Question 2: Also download revision worksheets and easy to learn study notes, prepared based on NCERT and CBSE guidelines. Prove that through a given point, we can draw only one perpendicular to a given line. ∠QRS = ∠QRA + ∠ARS Give reason for your answer. Therefore, no triangle can be drawn having its angles 45°, 64° and 72°. Theorem videos are also available.In this chapter, we will learnBasic Definitions- Line, Ray, Line Segment, Angles, Types of Angles If the angles of a triangle are in the ratio 5:3:7, then the triangle is Practice MCQ Questions for Cbse Class 9 Maths Identify Trapezoids Lines And Angles Angles And Properties Probability Probability Number System Rational Number with Answers to improve your score in your Exams. Has two obtuse angles and B, we have a brief introduction of intersecting lines for students from... A ΔABC is right angled at A. l is a straight line 6.12, ||... Expert Teachers as per the CBSE Class 9th Maths Syllabus of intersecting lines 73° + 106° 179°. ∠Def [ Hint: Produce DE to intersect BC at the point T. prove that a be... 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