{"id":4740,"date":"2020-09-09T10:31:35","date_gmt":"2020-09-09T05:01:35","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=4740"},"modified":"2021-07-02T15:03:35","modified_gmt":"2021-07-02T09:33:35","slug":"kseeb-solutions-class-8-maths-chapter-3-ex-3-2","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-class-8-maths-chapter-3-ex-3-2\/","title":{"rendered":"KSEEB Solutions for Class 8 Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.2"},"content":{"rendered":"

Students can Download Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.2 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths<\/a> helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.<\/p>\n

Karnataka Board Class 8 Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.2<\/h2>\n

I. Draw diagrams illustrating each of the following situations<\/p>\n

Question a.
\nThree straight lines which do not pass through a fixed point.
\nAnswer:
\n\"KSEEB<\/p>\n

Question b.
\nA point and rays emanating from that point such that the angle between any two adjacent rays is an acute angle.
\nAnswer:
\n\"KSEEB<\/p>\n

Question c.
\nTwo angles which are not adjacent angles, but still supplementary.
\nAnswer:
\n\"KSEEB<\/p>\n

Question d.
\nThree points in the plane which are equidistant from each other.
\nAnswer:
\n\"KSEEB<\/p>\n

Question 2.
\nRecognise the type of angles in the following figures.
\nAnswer:
\ni. Adjacent angles
\n\"KSEEB
\nAOX is an acute angle and BOX is an obtuse angle
\nii. Exterior angles
\n\"KSEEB
\nPRY and BOX are supplementary angles
\niii. Reflex angle
\n\"KSEEB<\/p>\n

Question 3.
\nFind the value of \u2018x\u2019 in each of the following diagrams.
\n(i) x + 2x = 180\u00b0
\n\"KSEEB
\nAnswer:
\n3x = 180\u00b0
\nx = \\(\\frac{180^{\\circ}}{3}\\) = 60\u00b0
\n\u2234 x= 60\u00b0
\n(ii) \u2220COB = 90\u00b0
\n\"KSEEB
\n\u2220COD +\u2220DOB = 90\u00b0
\n4x + x=90\u00b0
\n5x = 90
\nx = \\(\\frac { 90 }{ 5 }\\)
\nx = 18\u00b0
\n\u2220AOC + \u2220COB + \u2220BOD + \u2220DOA = 360\u00b0 Complete angle
\n\"KSEEB
\n\u2220 AOC + x + x +\u2220 DOA = 360\u00b0
\n90 + 2x = 360\u00b0 [\u2220 AOC +\u2220DOA = 90\u00b0 ]
\n2x = 360 – 90
\n2x = 270
\nx = \\(\\frac { 270 }{ 2 }\\)
\nx = 135\u00b0
\n(iv) \u2220AOB = 180\u00b0
\n\"KSEEB
\n\u2220AOC + \u2220BOC = 180\u00b0
\nx – y + x + y = 180\u00b0
\n2x = 180\u00b0
\nx = \\(\\frac { 180 }{ 2 }\\)
\nx = 90\u00b0
\n(v) \u2220COF= \u2220EOD
\n\"KSEEB
\n\u2220COF = 3x
\n\u2234\u2220EOD = 3x
\n\u2220AOB = 180\u00b0
\n\u2220AOE + \u2220EOD + \u2220DOB = 180\u00b0
\nx + 3x + x + 30 = 180\u00b0
\n5x + 30 = 180\u00b0
\n5x = 180 – 30
\n5x = 150
\nx = \\(\\frac { 150 }{ 5 }\\)
\nx = 30\u00b0
\n(vi)
\n\"KSEEB
\nEF is a straight line
\n\u2234 x + y = 180\u00b0 ………..(i)
\nDC is a straight line
\n\u2234 y+ 65\u00b0 = 180\u00b0 …(ii)
\nFrom(i)and(ii)
\nx + y = y + 65\u00b0
\nx + y – y = 65\u00b0
\nx = 65\u00b0<\/p>\n

Question 4.
\nwhich pair of angles are supplementary in the following diagram ? Are they supplementary rays ?
\n\"KSEEB
\nAnswer:
\n\u2220AOB and \u2220COD are supplementary angles.
\n\u2220COB and \u2220AOD are supplementary angles.
\nThere are no supplementary rays in the diagram.<\/p>\n

Question 5.
\nSuppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.
\n\"KSEEB
\nAnswer:
\nIn the figure
\n\u2220APQ + \u2220BPQ = 180\u00b0 and \u2220APQ is an obtuse angle.
\nTo prove \u2220BPQ < 90\u00b0
\nConstruction: Draw a perpendicular SP at P
\nProof: In the fig
\n\u2220 APS +\u2220SPQ + \u2220QPS = 180\u00b0
\n90 + \u2220SPQ + \u2220QPB = 180\u00b0
\n\u2220SPQ + \u2220QPB = 180-90
\n\u2220SPQ +\u2220QPB = 90
\n\u2234\u2220SPQ < 90\u00b0 and \u2220QPB < 90\u00b0
\n\u2234\u2220QPB is an acute angle
\n\u2234\u2220APQ is an obtuse angle<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.2 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Karnataka Board Class 8 Maths Chapter 3 Axioms, Postulates and Theorems Ex 3.2 I. Draw …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4740"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=4740"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4740\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=4740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=4740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=4740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}