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Angle 3 value is 30° find the all value anglewhich are vertically opposite angle which are alternative exterior angle which are alternative interior angle which are crossponding angle who one give the right answer of my questions I will make him brainlist |
Answer» <html><body><p><strong>Step-by-step explanation:</strong></p><p></p><p>As per the <a href="https://interviewquestions.tuteehub.com/tag/provided-2960341" style="font-weight:bold;" target="_blank" title="Click to know more about PROVIDED">PROVIDED</a> information in the given question, we have :</p><p></p><ul><li><a href="https://interviewquestions.tuteehub.com/tag/measure-1091857" style="font-weight:bold;" target="_blank" title="Click to know more about MEASURE">MEASURE</a> of ∠3 = 30°</li></ul><p></p><p>We are asked to <a href="https://interviewquestions.tuteehub.com/tag/calculate-412157" style="font-weight:bold;" target="_blank" title="Click to know more about CALCULATE">CALCULATE</a> the measure of all the <a href="https://interviewquestions.tuteehub.com/tag/angles-378243" style="font-weight:bold;" target="_blank" title="Click to know more about ANGLES">ANGLES</a>. </p><p></p><p>➝ ∠2 = 30° ★</p><p><strong>Reaso</strong><strong>n</strong><strong> </strong>: Vertically opposite angles are equal. (∠2 = ∠3)</p><p>___</p><p>➝ ∠2 + ∠1 = 180°</p><p><strong>Reason</strong><strong> </strong>: Linear pair</p><p>➝ 30° + ∠1 = 180°</p><p>➝ ∠1 = 180° – 30°</p><p>➝ <strong>∠</strong><strong>1</strong><strong> </strong><strong>=</strong><strong> </strong><strong>1</strong><strong>5</strong><strong>0</strong><strong>°</strong> ★</p><p>___</p><p>➝ ∠4 = 150° ★</p><p><strong>Reason</strong> : Vertically opposite angles are equal. (∠4 = ∠1)</p><p>___</p><p>➝ ∠6 = 150° ★</p><p><strong>Reason</strong> : Alternate interior angles are equal. (∠4 = ∠6)</p><p>___</p><p>➝ ∠5 = 30° ★</p><p><strong>Reason</strong> : Alternate interior angles are equal. (∠5 = ∠3)</p><p>___</p><p>➝ ∠7 = 150°</p><p><strong>Reason</strong> : Vertically opposite angles are equal. (∠7 = ∠6)</p><p>___</p><p>➝ ∠8 = 30°</p><p><strong>Reason</strong> : Vertically opposite angles are equal. (∠8 = ∠5)</p><p></p><h3><u>━━━━━━━━━━━━━━━━━━━━</u></h3><p></p><p><strong>Which are vertically opposite angles?</strong></p><p></p><p><img align="absmiddle" alt="\longmapsto" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Clongmapsto" title="\longmapsto"/> ∠1 and ∠4 ; ∠2 and ∠3 ; ∠5 and ∠8 ; ∠6 and ∠7.</p><p></p><p><strong>W</strong><strong>hich are alternative exterior </strong><strong>angles</strong><strong>?</strong></p><p></p><p><img align="absmiddle" alt="\longmapsto" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%5Clongmapsto" title="\longmapsto"/> ∠2 and ∠8 ; ∠1 and ∠7.</p><p></p><p><strong>W</strong><strong>hich are alternative interior angl</strong><strong>e</strong><strong>s</strong><strong>?</strong></p><p></p><p><img align="absmiddle" alt="\longmapsto" class="latex-formula" id="TexFormula3" src="https://tex.z-dn.net/?f=%5Clongmapsto" title="\longmapsto"/> ∠4 and ∠6 ; ∠5 and ∠3.</p><p></p><p><strong>Which are corresponding angles?</strong></p><p></p><p><img align="absmiddle" alt="\longmapsto" class="latex-formula" id="TexFormula4" src="https://tex.z-dn.net/?f=%5Clongmapsto" title="\longmapsto"/> ∠1 and ∠6 ; ∠2 and ∠5 ; ∠3 and ∠8 ; ∠4 and ∠7.</p></body></html> | |