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Using activity, prove the following formula fora) Equilateral triangle b) Square c) Regular Pentagon Number of sides x exterior angle=360​

Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>Classify each of them on the basis of the following.</p><p> (a) Simple curve</p><p> (b) Simple closed curve</p><p> (c) Polygon</p><p> (d) Convex polygon</p><p> (e) Concave polygon</p><p>Ans:</p><p> (a) Simple curve – 1, 2, 5, 6, 7</p><p> (b) Simple closed curve – 1, 2, 5, 6, 7</p><p> (c) Polygon – 1, 2</p><p> (d) Convex polygon – 2</p><p> (e) Concave polygon – 1</p><p>Q2. How many diagonals does each of the following have?</p><p> (a) A convex <a href="https://interviewquestions.tuteehub.com/tag/quadrilateral-610984" style="font-weight:bold;" target="_blank" title="Click to know more about QUADRILATERAL">QUADRILATERAL</a></p><p>Ans. Two</p><p> (b) A regular hexagon</p><p>Ans. 9</p><p> (c) A triangle</p><p>Ans. 0 (zero)</p><p>Q3. What is the sum of the measures of the angles of a convex quadrilateral? Why this property <a href="https://interviewquestions.tuteehub.com/tag/hold-1028313" style="font-weight:bold;" target="_blank" title="Click to know more about HOLD">HOLD</a> if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)</p><p>Ans. Angle sum of a convex quadrilateral = (<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> – 2) × 180° = 2 × 180° = 360°</p><p> Since, quadrilateral, which is not convex, i.e. concave has same number of sides i.e. 4 as a convex quadrilateral have, thus, a quadrilateral which is not convex also hold this property. i.e. angle sum of a concave quadrilateral is also <a href="https://interviewquestions.tuteehub.com/tag/equal-446400" style="font-weight:bold;" target="_blank" title="Click to know more about EQUAL">EQUAL</a> to 360°</p></body></html>


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