Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

Prove that the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
Asked by Topperlearning User | 04 Oct, 2017, 12:58: PM
answered-by-expert Expert Answer
 
begin mathsize 12px style Given space colon space straight A space cyclic space quadrilateral space ABCD space whose space side space AB space is space produced space to space straight a space point space straight E. To space prove colon space External space angle space CBE space equals space angle space ADC Proof space colon space angle space ABC space plus space angle space CBE space equals space 180 degree space space space space space space space space space left parenthesis Linear space pair right parenthesis space space space space space space space space space space space space space space space angle space ABC space plus space angle space ADC space equals space space 180 degree space space space space space space space space left parenthesis space Opposite space angles space of space straight a space cyclic space quadrilateral right parenthesis space space space space space space space space space space space space space space space angle space ABC space plus space angle space CBE space equals space angle space ABC space plus space angle space ADC space space space space space space space space space space space space space space space space space angle space CBE space space equals space angle space ADC space space space space space space space space space space space space space space space space Hence space proved. end style
Answered by | 04 Oct, 2017, 02:58: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
AB is chord of a circle with centre O. Let P and T be two points on the circumpherence such that < APB # < ATB and < APB = 80 degree then what is the value of < ATB.
question image
Asked by sdmbotch1123 | 17 Dec, 2022, 09:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
if a segment contains more than two angles even then all of them will be equal?
Asked by nirup6957 | 20 Jan, 2020, 07:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
prove that a cyclic parallelogram is a rectangle
Asked by mukhreetyadav1972 | 29 Dec, 2019, 07:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Prove that the opposite angles of a cyclic quadrilateral are supplementary.
Asked by Topperlearning User | 04 Oct, 2017, 02:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
begin mathsize 12px style In space the space given space figure comma space straight O space is space the space centre space of space the space circle space and space angle AOC space is space equal space to space 140 degree. space Find space angle ABC. end style
Asked by Topperlearning User | 05 Oct, 2017, 07:58: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Prove that the quadrilateral formed by the bisectors of internal angles of a cyclic quadrilateral is also cyclic.
Asked by Topperlearning User | 04 Oct, 2017, 02:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
begin mathsize 12px style increment space ABC space and space increment space ADC space are space two space right space triangles space with space common space hypotenuse space AC. space Prove space that space angle CAD space is space equal space to space angle CBD. end style
Asked by Topperlearning User | 04 Oct, 2017, 02:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
In the figure, O is the centre of the circle and begin mathsize 12px style angle space AOC space equals space 160 degree. space Prove space that space 3 angle space straight y space minus space 2 angle space straight x space equals space 140 degree end style.
Asked by Topperlearning User | 04 Oct, 2017, 01:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 04 Oct, 2017, 01:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Error converting from MathML to accessible text.
Asked by Topperlearning User | 04 Oct, 2017, 02:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×