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Ex 9.3, 5 - Chapter 10 Class 9 Circles (Important Question)
Last updated at Dec. 13, 2024 by Teachoo
Class 9
Important Questions for Exam - Class 9
- Chapter 1 Class 9 Number Systems
- Chapter 2 Class 9 Polynomials
- Chapter 3 Class 9 Coordinate Geometry
- Chapter 4 Class 9 Linear Equations in Two Variables
- Chapter 5 Class 9 Introduction to Euclid's Geometry
- Chapter 6 Class 9 Lines and Angles
- Chapter 7 Class 9 Triangles
- Chapter 8 Class 9 Quadrilaterals
- Chapter 9 Class 9 Areas of parallelograms and Triangles
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Chapter 10 Class 9 Circles
- Chapter 11 Class 9 Constructions
- Chapter 12 Class 9 Herons Formula
- Chapter 13 Class 9 Surface Areas and Volumes
- Chapter 14 Class 9 Statistics
- Chapter 15 Class 9 Probability
Transcript
Ex 9.3, 5 In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. Find ∠BAC. Since BD is a line ∠ BEC + ∠ DEC = 180° 130° + ∠ DEC = 180° ∠ DEC = 180° – 130° ∠ DEC = 50° In Δ DEC ∠ DEC + ∠ EDC + ∠ ECD = 180° 50° + ∠ EDC + 20° = 180° 70° + ∠ EDC = 180° ∠ EDC = 180° – 70° ∠ EDC = 110° For segment BADCB, ∠ BAC & ∠ BDC are in the same segment So, they must be equal ∴ ∠ BAC = ∠ BDC ∠ BAC = 110°
