{"id":27017,"date":"2021-06-29T11:01:50","date_gmt":"2021-06-29T05:31:50","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27017"},"modified":"2021-06-29T11:02:35","modified_gmt":"2021-06-29T05:32:35","slug":"ncert-solutions-for-class-8-maths-chapter-3-intext-questions","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-3-intext-questions\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 3 Understanding Quadrilaterals InText Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions<\/h2>\n

Try These (Page No. 43)<\/span><\/p>\n

Take a regular hexagon Fig 3.10.
\n\"NCERT<\/p>\n

Question 1.
\nWhat is the sum of the measures of its exterior angles x, y, z, p, q, r?
\nSolution:
\n\u2220x + \u2220y + \u2220x + \u2220z + \u2220p + \u2220q + \u2220r = 360\u00b0
\n[\u2235 Sum of exterior angles of a polygon = 360\u00b0]<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nIs x = y = z = p = q = r? Why?
\nSolution:
\nSince, all the sides of the polygon are equal.
\n\u2234 It is a regular hexagon.
\nSo, its interior angles are equal.
\n\u2234 x = (180\u00b0 – a)
\ny = (180\u00b0 – a)
\nz = (180\u00b0 – a)
\np = (180\u00b0 – a)
\nq = (180\u00b0 – a)
\nr = (180\u00b0 – a)
\n\u2234 x = y = z = p = q = r<\/p>\n

Question 3.
\nWhat is the measure of each?
\n(i) exterior angle
\n(ii) interior angle
\nSolution:
\n(i) x + y + z = p + q = r = 360\u00b0 [sum of exterior angles = 360\u00b0]
\nand all these angles are equal
\n\u2234 Measure of each exterior angles = \\(\\frac{360^{\\circ}}{6}\\) = 60\u00b0<\/p>\n

(ii) \u2235 Exterior angle = 60\u00b0
\n\u2234 180\u00b0 – 60\u00b0 = Interior angle
\nor 120\u00b0 = Interior angle
\nor Measure of interior angle = 120\u00b0<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nRepeat this activity for the cases of
\n(i) a regular octagon
\n(ii) a regular 20-gon
\nSolution:
\n(i) In a regular octagon, number of sides (n) = 8
\n\u2234 Each exterior angle = \\(\\frac{360^{\\circ}}{8}\\) = 45\u00b0
\n\u2234 Each interior angle = 180\u00b0 – 45\u00b0 = 135\u00b0<\/p>\n

(ii) For a regular 20-gon, the number of sides (n) = 20
\n\u2234 Each exterior angle = \\(\\frac{360^{\\circ}}{20}\\) = 18\u00b0
\nThus, each interior angle = 180\u00b0 – 18\u00b0 = 162\u00b0<\/p>\n

Try These (Page No. 47)<\/span><\/p>\n

Question 5.
\nTake two identical set squares with angles 30\u00b0 – 60\u00b0 – 90\u00b0 and place them adjacently to form a parallelogram as shown in Fig 3.20. Does this help you to verify the above property?
\n\"NCERT
\nSolution:
\nThe given figure helps us to verify that opposite sides of a parallelogram are of equal length.<\/p>\n

\"NCERT<\/p>\n

Try These (Page No. 48)<\/span><\/p>\n

Question 6.
\nTake two identical 30\u00b0 – 60\u00b0 – 90\u00b0 set-squares and form a parallelogram as before. Does the figure obtain the help you to confirm the above property?
\nSolution:
\nThe above figure also helps us to confirm that: opposite angles of a parallelogram are equal.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions Try These (Page No. 43) Take a regular hexagon Fig 3.10. Question 1. What is the sum of the measures …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-3-intext-questions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals InText Questions and Answers are prepared by our highly skilled subject experts. 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