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Find the value of x, y,z each of the following figures ​

Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p>i) ∠<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a> = ∠ 55° (Vertically opposite angle)</p><p></p><p>∠x + ∠y = 180° (Adjacent angles)</p><p></p><p>55° + ∠y = 180° (Linear pair angles)</p><p></p><p><a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a>, ∠y=180° - 55° = 125°</p><p></p><p>∠y = ∠<a href="https://interviewquestions.tuteehub.com/tag/z-750254" style="font-weight:bold;" target="_blank" title="Click to know more about Z">Z</a></p><p></p><p>Hence, ∠x=55° , ∠y=125° and ∠125°</p><p></p><p>ii) 25° + x + 40° = 180°</p><p></p><p>65° + x = 180°</p><p></p><p>Therefore, x = 180° - 65° = 115°</p><p></p><p>40° + y = 180° (Linear <a href="https://interviewquestions.tuteehub.com/tag/pairs-1145786" style="font-weight:bold;" target="_blank" title="Click to know more about PAIRS">PAIRS</a>)</p><p></p><p>Therefore y = 180° - 40° = 140°</p><p></p><p>y + z = 180° (Linear pairs)</p><p></p><p>140° + z = 180°</p><p></p><p>Therefore z = 180° - 140° = 40°</p><p></p><p>Hence , x - 115°</p><p></p><p>y = 140° and z = 40°</p></body></html>


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