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In the given figure, m parallel n and angle 1 and angle 2 are in the ratio 4:5 Determine all the anglesplease step by step solution.​

Answer» <html><body><p><strong>Answer:</strong></p><p>First we <a href="https://interviewquestions.tuteehub.com/tag/know-534065" style="font-weight:bold;" target="_blank" title="Click to know more about KNOW">KNOW</a> the ratio of angle 1 and <a href="https://interviewquestions.tuteehub.com/tag/angel-378177" style="font-weight:bold;" target="_blank" title="Click to know more about ANGEL">ANGEL</a> 2</p><p>So let angle 1 =<a href="https://interviewquestions.tuteehub.com/tag/3x-310805" style="font-weight:bold;" target="_blank" title="Click to know more about 3X">3X</a> and angle 2=2x</p><p>Angle 1 +angle 2=180(linear <a href="https://interviewquestions.tuteehub.com/tag/pair-1145723" style="font-weight:bold;" target="_blank" title="Click to know more about PAIR">PAIR</a>) </p><p>So</p><p>3x+2x=180</p><p>5x=180</p><p>X=180/5</p><p>X=36</p><p>Now we know the value of x so</p><p>Angle 1=3x</p><p>3x36=108 degree</p><p>Angle 2 =2x</p><p>2x36=72 degree</p><p>Now angle 1=angle 3(vertically opposite angle)</p><p>Angle 3=108degree</p><p>And angle 2=angle 4(vertically opposite angle) </p><p>Angle 4=72degree</p><p>Angle 4=angle 6(alternate interior angle) </p><p>So angle 6 =72degree</p><p></p><p>Now angle 6 +angle 5=180(linear pair) </p><p>72+angle 5=180</p><p>Angle 5=180-72</p><p>Angle 5=108degree</p><p>Now </p><p>Angle 6=angle 8(vertically opposite) </p><p>Angle 8=72degree</p><p>And</p><p>Angle 5=angle 7</p><p>Angle7=108 degree</p><p>HOPE YOU LIKE IT </p><p>THANK YOU </p></body></html>


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