Ask a Doubt
Request a call back

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

CBSE Class 9 Answered

ABCD is a cyclic quad. in which angle BAD = 75 ,angle ABD = 58, angle ADC = 77 , AC and BD  intersect at P.Then find angle DPC ?
Asked by nisha_vini29 | 24 Feb, 2016, 09:29: AM
answered-by-expert Expert Answer
In space Segment space AD angle ACD space equals space angle ABD space space space..... left parenthesis Angles space in space the space same space segment right parenthesis angle ACD space equals space 58 degree............. left parenthesis 1 right parenthesis ABCD space is space cyclic space quadrilateral angle straight A space plus space angle straight C space equals space 180 degree 75 degree space plus space angle straight C space equals space 180 degree space angle straight C space equals space 105 degree angle ACD space plus space angle ACB space equals space 105 degree 58 degree plus space angle ACB space equals space 105 degree space angle ACB space equals space 47 degree............. left parenthesis 2 right parenthesis In space Segment space AB angle ADB space equals space angle ACB space space space..... left parenthesis Angles space in space the space same space segment right parenthesis angle ADB space equals space 47 degree angle straight D space equals space 77 degree angle ADB plus angle BDC space equals space 77 degree space 47 degree plus angle BDC space equals space 77 degree angle BDC space equals space 30 degree............. left parenthesis 3 right parenthesis In space increment DPC comma angle PDC space plus angle DCP space plus angle DPC space equals space 180 degree 30 degree space plus 58 degree space plus angle DPC space equals space 180 degree........ left square bracket from space left parenthesis 1 right parenthesis space and space left parenthesis 3 right parenthesis right square bracket angle DPC space equals space 92 degree
Answered by Vijaykumar Wani | 24 Feb, 2016, 11:13: AM

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
×