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CBSE Class 10 Answered

Geometry
question image
Asked by ritikmeena625 | 15 Jul, 2023, 01:43: PM
answered-by-expert Expert Answer
PQ vertical line vertical line RS
considering space OL space as space transversal
angle POL space equals space angle MLO space... space alternate space angles space... left parenthesis 1 right parenthesis
considering space ON space as space transversal
angle NOQ space equals space angle ONM space... space alternate space angles... left parenthesis 2 right parenthesis
angle MON space equals space 25 space equals space angle NOQ
also comma space angle ONM space equals space 25 space... left parenthesis from space 2 right parenthesis
in space triangle ONM
by space sum space of space angles space in space straight a space triangle comma space we space get
angle MON space plus thin space angle OMN space plus space angle ONM space equals space 180
25 space plus thin space angle OMN space plus space 25 space equals space 180
thin space angle OMN space equals space 130
Also space
angle OMN space plus space angle OML space equals space 180 space.... left parenthesis linear space pair right parenthesis
Hence comma space
angle OML space equals space 50
Now comma space in space triangle OML
by space sum space of space angles space in space straight a space triangle comma space we space get
angle OLM space plus thin space angle OML space plus space angle LOM space equals space 180
50 space plus space 2 angle LOM space equals 180 space... space left parenthesis angle POL space equals space angle MLO space and space angle POL space equals space angle LOM right parenthesis
2 angle LOM space equals 130
bold thin space bold angle bold LOM bold space bold equals bold space bold 65
bold thin space bold angle bold POM bold space bold equals bold space bold 130
bold thin space bold angle bold OLM bold space bold equals bold space bold 65
bold thin space bold angle bold NOL bold space bold equals bold space bold 90
Answered by Arun | 15 Jul, 2023, 07:28: PM
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