1.

12. Find the missing angles of the quadrilateral ACBD in the given figure.​

Answer» <html><body><p><img align="absmiddle" alt="\huge\underline\mathbb{\red S\pink {O}\purple {L} \blue {UT} \orange {I}\green {ON :}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Chuge%5Cunderline%5Cmathbb%7B%5Cred%20S%5Cpink%20%7BO%7D%5Cpurple%20%7BL%7D%20%5Cblue%20%7BUT%7D%20%20%5Corange%20%7BI%7D%5Cgreen%20%7BON%20%3A%7D%7D" title="\huge\underline\mathbb{\red S\pink {O}\purple {L} \blue {UT} \orange {I}\green {ON :}}"/></p><p></p><p><strong><em><u>In </u></em></strong><strong><em><u>Triangle </u></em></strong><strong><em><u><a href="https://interviewquestions.tuteehub.com/tag/adc-361797" style="font-weight:bold;" target="_blank" title="Click to know more about ADC">ADC</a> </u></em></strong><strong><em><u>By </u></em></strong><strong><em><u><a href="https://interviewquestions.tuteehub.com/tag/angle-875388" style="font-weight:bold;" target="_blank" title="Click to know more about ANGLE">ANGLE</a> </u></em></strong><strong><em><u>sum </u></em></strong><strong><em><u>property </u></em></strong><strong><em><u>of </u></em></strong><strong><em><u>triangle </u></em></strong></p><p><strong><em><u>40+</u></em></strong><strong><em><u>7</u></em></strong><strong><em><u>0</u></em></strong><strong><em><u>+</u></em></strong><strong><em><u>A</u></em></strong><strong><em><u>D</u></em></strong><strong><em><u>C</u></em></strong><strong><em><u>=</u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>8</u></em></strong><strong><em><u>0</u></em></strong></p><p><strong><em><u>ADC=</u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>8</u></em></strong><strong><em><u>0</u></em></strong><strong><em><u>-</u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>0</u></em></strong></p><p><strong><em><u>ADC=</u></em></strong><strong><em><u>7</u></em></strong><strong><em><u>0</u></em></strong></p><p></p><p><strong><em><u>Now </u></em></strong><strong><em><u>in </u></em></strong><strong><em><u>Triangle </u></em></strong><strong><em><u><a href="https://interviewquestions.tuteehub.com/tag/dbc-430841" style="font-weight:bold;" target="_blank" title="Click to know more about DBC">DBC</a></u></em></strong></p><p><strong><em><u>As </u></em></strong><strong><em><u>DB=</u></em></strong><strong><em><u>B</u></em></strong><strong><em><u>C</u></em></strong></p><p><strong><em><u>So </u></em></strong><strong><em><u>Angle </u></em></strong><strong><em><u>BCD=</u></em></strong><strong><em><u>B</u></em></strong><strong><em><u>D</u></em></strong><strong><em><u>C</u></em></strong><strong><em><u>=</u></em></strong><strong><em><u>x</u></em></strong></p><p></p><p><strong><em><u>So </u></em></strong><strong><em><u>in </u></em></strong><strong><em><u>triangle </u></em></strong><strong><em><u>DBC </u></em></strong><strong><em><u>by </u></em></strong><strong><em><u>angle </u></em></strong><strong><em><u>sum </u></em></strong><strong><em><u>property </u></em></strong><strong><em><u>of </u></em></strong><strong><em><u>triangle </u></em></strong></p><p><strong><em><u>8</u></em></strong><strong><em><u>0</u></em></strong><strong><em><u>+</u></em></strong><strong><em><u> </u></em></strong><strong><em><u>x </u></em></strong><strong><em><u>+</u></em></strong><strong><em><u> </u></em></strong><strong><em><u>x </u></em></strong><strong><em><u>=</u></em></strong><strong><em><u> </u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>8</u></em></strong><strong><em><u>0</u></em></strong></p><p><strong><em><u>2x=</u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>0</u></em></strong><strong><em><u>0</u></em></strong></p><p><strong><em><u>x=</u></em></strong><strong><em><u>5</u></em></strong><strong><em><u>0</u></em></strong></p><p></p><p></p><p><strong><em><u>So </u></em></strong><strong><em><u>BCD=</u></em></strong><strong><em><u>B</u></em></strong><strong><em><u>D</u></em></strong><strong><em><u>C</u></em></strong><strong><em><u>=</u></em></strong><strong><em><u>5</u></em></strong><strong><em><u>0</u></em></strong></p><p></p><p></p><p><img align="absmiddle" alt="\huge\underline\mathbb{\red F\pink {O}\purple {L} \blue {L} \orange {OW}\green {ME }}" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Chuge%5Cunderline%5Cmathbb%7B%5Cred%20F%5Cpink%20%7BO%7D%5Cpurple%20%7BL%7D%20%5Cblue%20%7BL%7D%20%20%5Corange%20%7BOW%7D%5Cgreen%20%7BME%20%7D%7D" title="\huge\underline\mathbb{\red F\pink {O}\purple {L} \blue {L} \orange {OW}\green {ME }}"/></p></body></html>


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