{"id":4627,"date":"2020-09-09T09:54:54","date_gmt":"2020-09-09T04:24:54","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=4627"},"modified":"2021-07-02T15:03:36","modified_gmt":"2021-07-02T09:33:36","slug":"kseeb-solutions-class-8-maths-chapter-15-ex-15-1","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-class-8-maths-chapter-15-ex-15-1\/","title":{"rendered":"KSEEB Solutions for Class 8 Maths Chapter 15 Quadrilaterals Ex 15.1"},"content":{"rendered":"

Students can Download Maths Chapter 15 Quadrilaterals Ex 15.1 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 15 Quadrilaterals Ex 15.1<\/h2>\n

Question 1.
\nTwo angles of a quadrilateral are 70\u00b0 and 130\u00b0 and the other two angles are equal. Find the measure of these two angles.
\nAnswer:
\nLet the equal angles be x
\n70 + 130 + x + x = 360\u00b0
\n[Sum of the angles of a quadrilateral 360\u00b0]
\n200 + 2x = 360\u00b0
\n2x = 160
\nx =\u00a0\"\\frac
\nx = 80\u00b0
\nEach of the other two angles is 80\u00b0<\/p>\n

Question 2.
\nIn the figure. Suppose \u2220P and \u2220Q are supplementary angles and \u2220R = 125 \u00b0. Find the measure of\u2220S.
\n\"KSEEB
\nAnswer:
\n\u2220P + \u2220Q +\u2220R + \u2220s = 360\u00b0
\n[Sum of the angles of a quadrilateral]
\n180 + 125\u00b0 + \u2220S = 360\u00b0
\n[\u2220P and \u2220Q are supplementary]
\n305 + \u2220S = 360\u00b0
\n\u2220 S = 360 \u2013 305
\n\u2220S = 55\u00b0<\/p>\n

Question 3.
\nThree angles of a quadrilateral are in the ratio 2:3:5 and the fourth angles are 90\u00b0. Find the measure of the other three angles.
\nAnswer:
\nThree angles are in the ratio 2 : 3 : 5 Let the angles be 2x, 3x and 5x
\n[Sum of the angles of a quadrilateral]
\n2x + 3x + 5x + 90\u00b0 = 360\u00b0
\n10x + 90 = 360
\n10x = 360 \u2013 90
\n10x = 270\u00b0
\nx =\u00a0\"\\frac\u00a0= 27\u00b0
\n\u2234 2x = 2 \u00d7 27 = 54\u00b0
\n3x = 3 \u00d7 27 = 81\u00b0
\n5x = 5 \u00d7 27 = 135\u00b0
\nThree angle are 54\u00b0, 81\u00b0 & 135\u00b0<\/p>\n

Question 4.
\nIn the adjoining figure, ABCD is a quadrilateral such that \u2220D + \u2220C = 100\u00b0. The bisectors of \u2220A and \u2220B meet at P.
\nDetermine \u2220APB.
\n\"KSEEB
\nAnswer:
\n\u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0
\n[Sum of the angles of a quadrilateral]
\n\u2220A + \u2220B = 360 \u2013 100
\n\u2220A + \u2220B = 260
\n\"\\frac \u2220A + \"\\frac\u00a0 \u2220B = \"\\frac \u00d7 260\u00b0
\n[Multiplying by\u00a0\"\\frac\u00a0]
\n\u2220PAB + \u2220PBA = 130\u00b0
\n[AP and BP are bisectors of \u2220A and \u2220B]
\nIn \u2206 APB. \u2220APB +\u2220PAB +\u2220PB A = 180\u00b0
\n\u2220PAB + \u2220PBA + \u2220APB = 180\u00b0
\n[Sum of the angles of a triangle]
\n\u2220APB + 130 = 180\u00b0
\n\u2220APB = 180 \u2013 130
\n\u2220 APB = 50\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Maths Chapter 15 Quadrilaterals Ex 15.1 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 15 Quadrilaterals Ex 15.1 Question 1. Two angles of a quadrilateral are …<\/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\/4627"}],"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=4627"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4627\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=4627"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=4627"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=4627"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}