{"id":16921,"date":"2022-01-29T10:25:08","date_gmt":"2022-01-29T04:55:08","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=16921"},"modified":"2022-01-29T10:25:08","modified_gmt":"2022-01-29T04:55:08","slug":"ap-board-7th-class-maths-solutions-chapter-4-exercise-4-1","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-7th-class-maths-solutions-chapter-4-exercise-4-1\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 4 Lines and Angles Exercise 4.1"},"content":{"rendered":"

SCERT\u00a0AP 7th Class Maths Solutions Pdf<\/a> Chapter 4 Lines and Angles Ex 4.1 Textbook Exercise Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 4th Lesson Lines and Angles Exercise 4.1<\/h2>\n

Question 1.
\nFind which of the following pair of angles are complementary and which are supplementary?
\n\"AP
\nAnswer:
\n90\u00b0 + 20\u00b0 = 1 10\u00b0 \u2260 90\u00b0 (or) \u2260 180\u00b0
\nSo, they are not complementary or not supplementary.<\/p>\n

\"AP
\nAnswer:
\n6o\u00b0 + 30\u00b0 = 90\u00b0
\nSo, they are complementary angles.<\/p>\n

\"AP
\nAnswer:
\n11\u00b0+ 79\u00b0 = 90\u00b0
\nSo, they arc complementary angles.<\/p>\n

\"AP
\nAnswer:
\n125\u00b0 + 55\u00b0 = 180\u00b0
\nSo, they are supplementary angles.<\/p>\n

\"AP
\nAnswer:
\n50 + 130\u00b0 = 180\u00b0
\nSo, they are supplementary angles.<\/p>\n

\"AP
\nAnswer:
\n40\u00b0 + 120\u00b0 = 160\u00b0 \u2260 90\u00b0 (or) 180\u00b0
\nSo, they are not complementary angles or not supplementary angles.<\/p>\n

\"AP<\/p>\n

Question 2.
\nIf the ratio of two complementary angles is 2:3, then find the two angles.
\nAnswer:
\nGiven the ratio of two complementary angles = 2 : 3 = 2x : 3x
\nSum of the complementary angles = 90\u00b0 So, 2x + 3x = 90\u00b0
\n\u21d2 5x = 90\u00b0
\n\u21d2 \\(\\frac{5 x}{5}=\\frac{90^{\\circ}}{5}\\)
\n\u2234 x = 18\u00b0
\nThen the angles are
\n2x, 3x = 2(18\u00b0), 3(18\u00b0) = 36\u00b0, 54\u00b0<\/p>\n

Question 3.
\nIn the figure, \u2220A and \u2220Q are complementary angles. Find the value of x.
\n\"AP
\nAnswer:
\nGiven \u2220A = 9x\u00b0, \u2220Q = 36\u00b0 and
\n\u2220A and \u2220Q are complementary angles.
\nSo, \u2220A + \u2220Q = 90\u00b0
\n\u21d2 9x + 36\u00b0 = 90\u00b0
\n\u21d2 9x + 36\u00b0 – 36\u00b0 = 90\u00b0 – 36\u00b0
\n\u21d2 9x = 54\u00b0
\n\u21d2 \\(\\frac{9 \\mathrm{x}}{9}=\\frac{54^{\\circ}}{9}\\)
\n\u21d2 x = 6\u00b0 .<\/p>\n

Question 4.
\nIf \u2220A and \u2220B are conjugate angles and \u2220A = \u2220B. Find the two angles.
\nAnswer:
\nGiven \u2220A and \u2220B are conjugate angles and
\n\u2220A = \u2220B = x\u00b0
\nSo, \u2220A + \u2220B = 360\u00b0
\n\u21d2 x\u00b0 + x\u00b0 – 360\u00b0
\n\u21d2 2x\u00b0 = 360\u00b0
\n\u21d2 \\(\\frac{2 x}{2}=\\frac{360^{\\circ}}{2}\\)
\n\u21d2 x = 180\u00b0
\n\u2234 \u2220A = \u2220B = x\u00b0 = 180\u00b0<\/p>\n

Question 5.
\nDraw a pair of complementary angles and a pair of supplementary angles.
\nAnswer:
\n\"AP<\/p>\n

Question 6.
\nTeacher asked students to draw the complementary angle to the given angle. The students have drawn as follows. Who is correct?
\n\"AP
\nAnswer:
\nSum of the two angles is 90\u00b0, then they are called complementary angles.
\nComplementary angle of 30\u00b0 is 60\u00b0. So, Sujatha is correct.<\/p>\n

Question 7.
\nIn the given figure, \u2220B and \u2220E are supplementary angles. Find x.
\n\"AP
\nAnswer:
\nGiven \u2220B and \u2220E are supplementary angles.
\n\u2220B + \u2220E = 180\u00b0
\n\u21d2 30\u00b0 + 5x = 180\u00b0
\n\u21d2 30\u00b0 + 5x – 30\u00b0 = 180\u00b0- 30\u00b0
\n\u21d2 5x = 150\u00b0
\n\u21d2 \\(\\frac{5 x}{5}=\\frac{150^{\\circ}}{5}\\)
\n\u2234 x = 30\u00b0<\/p>\n

\"AP<\/p>\n

Question 8.
\nAshritha said, \u201cIn the pair of supplementary angles, one angle must be obtuse angle.\u201d Do you agree? Give reason.
\nAnswer:
\nNo, two acute angles cannot make supplementary angles. Two right angles (90\u00b0) can make supplementary angles. One acute and one obtuse angles can make supplementary angles.<\/p>\n

Question 9.
\nFind the angle which is 40\u00b0 more than its supplementary angle?
\nAnswer:
\nLet one angle is x\u00b0.
\nOther angle is (x + 40)\u00b0.
\nGiven two angles are supplementary.
\nSo, x + x + 40\u00b0 = 180\u00b0
\n\u21d2 2x + 40\u00b0 = 180\u00b0
\n\u21d2 2x + 40\u00b0 – 40\u00b0 = 180\u00b0 – 40\u00b0
\n\u21d2 2x = 140\u00b0
\n\u21d2 \\(\\frac{2 x}{2}=\\frac{140^{\\circ}}{2}\\)
\nAngle x = 70\u00b0
\nOther angle is x + 40\u00b0 = 70\u00b0 + 40\u00b0 = 110\u00b0
\n\u2234 Angles are 70\u00b0 and 110\u00b0.<\/p>\n

Question 10.
\nSrinu said, \u201cTwo obtuse angles cannot be supplementary.\u201d Do you agree? Justify your answer.
\nAnswer:
\nYes, sum of two obtuse angles is greater than 180\u00b0.<\/p>\n","protected":false},"excerpt":{"rendered":"

SCERT\u00a0AP 7th Class Maths Solutions Pdf Chapter 4 Lines and Angles Ex 4.1 Textbook Exercise Questions and Answers. AP State Syllabus 7th Class Maths Solutions 4th Lesson Lines and Angles Exercise 4.1 Question 1. Find which of the following pair of angles are complementary and which are supplementary? Answer: 90\u00b0 + 20\u00b0 = 1 10\u00b0 … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/16921"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=16921"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/16921\/revisions"}],"predecessor-version":[{"id":16922,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/16921\/revisions\/16922"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=16921"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=16921"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=16921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}