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CBSE Class 9 Answered

Please solve question no 8 with proper explanation 
Asked by adityaahuja099 | 20 Nov, 2017, 07:54: PM
answered-by-expert Expert Answer
 
begin mathsize 16px style Consider space PR space as space straight a space chord space of space circle. space Take space any space point space straight S space on space major space arc space of space circle. space Now space PQRS space is space straight a space cyclic space quadrilateral. space angle PQR space plus space angle PSR space equals 180 degree space space space space left parenthesis Opposite space angles space of space cyclic space quadrilateral right parenthesis rightwards double arrow angle PSR space equals 180 degree space minus space 100 degree space equals space 80 degree We space know space that space angle space subtended space by space an space arc space at space centre space is space double space the space angle space subtended space by space it space any space point space on space the space remaining space part space of space the space circle. space space rightwards double arrow angle POR space equals space 2 angle PSR space equals space 2 space left parenthesis 80 degree right parenthesis space equals space 160 degree space In space triangle POR comma OP space equals space OR space space space space space space space space space space space space space space space space space left parenthesis radii space of space same space circle right parenthesis space space space angle OPR space equals space angle ORP space space space space left parenthesis Angles space opposite space equal space sides space of space straight a space triangle right parenthesis space angle OPR space plus space angle ORP space plus space angle POR space equals space 180 degree space space space space left parenthesis Angle space sum space property space of space straight a space triangle right parenthesis rightwards double arrow 2 angle OPR space plus space 160 degree equals space 180 degree rightwards double arrow 2 angle OPR space equals 180 degree space minus space 160 degree space equals space 20 degree rightwards double arrow angle OPR space equals 10 degree space end style
Answered by Rashmi Khot | 30 Nov, 2017, 10:10: AM

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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.
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Asked by sdmbotch1123 | 17 Dec, 2022, 09:39: PM
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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
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CBSE 9 - Maths
prove that a cyclic parallelogram is a rectangle
Asked by mukhreetyadav1972 | 29 Dec, 2019, 07:34: PM
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CBSE 9 - Maths
Prove that the opposite angles of a cyclic quadrilateral are supplementary.
Asked by Topperlearning User | 04 Oct, 2017, 02:06: PM
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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
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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
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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
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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
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CBSE 9 - Maths
Asked by Topperlearning User | 04 Oct, 2017, 01:50: PM
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CBSE 9 - Maths
Error converting from MathML to accessible text.
Asked by Topperlearning User | 04 Oct, 2017, 02:12: PM
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