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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Consider angle POR as 5x and and ROQ as 7x, so POR and ROQ lie on the same plane thus, POR+ROQ= 180 degrees. therefore. 5x+7x=180 12x=180 x= 180/12 =15 => 5x- 5*15 =75 and 7x-7*x=105

now, POS is also 105 degrees as ROQ and POS are interior alternate angles and SOQ is also 75 degrees as POR ans SOQ are interior alternate angle.. [if you have any more doubts,do ask me as this is my fav. concept of math]