Then the values of x and y are respectively: True - 45 and 45 degrees. Students can also refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles for better exam preparation and score more marks. (iii) Two obtuse angles can form a linear pair. (vii) Adjacent angles have a common vertex, a common arm, and no common interior points. New questions in Math . Is It True Or False? (a) 40° (iv) Two angles forming a linear pair are supplementary. (i) Two obtuse angles can be supplementary. (a) 55°, 115° Complementary angles must be acute. (iii) Two obtuse angles can form a linear pair. Angles /_1 and /_2 are adjacent (share one side) and acute. (v) If two adjacent angles are supplementary, then they form a ……….. In the given figure, the value of x that will make AOB a straight line is (a) x = 40 (b) x = 35 (c) x = 30 (d) x = 25 Solution: AOB will be a straight line if 3x + 15 + 2x – 10° = 180° ⇒ 5x + 5 = 180° ⇒ 5x = 180° – 5 = 175° ⇒ x = 35° (b), Question 10. The measure of the complement of the angle 46° is (a) 90° (b) 46° (c) 16° … Solution: Question 9. (xi) Alternate interior angles have one common ………… Fill in the blanks: KEV Block: Name Date: Write if angles are complementary, supplementary, or adjacent. Answer (i) No, because sum of two acute angles is less than 1 8 0 o. (ii) ∠AOC and ∠COB are ……….. angles. Medium. (iii) Supplement of an obtuse angle is ………. Complementary angles must be acute true or false - 7570132 unknown128 unknown128 12/07/2017 Mathematics Middle School Complementary angles must be acute true or false See answer Brainly User Brainly User True because their sum is 90 degrees. When the sum of the measures of two angles is 90°, the angles are called Two Angles Are Complementary. 4.if a transversal intersect two lines, alternate angles are equal. true or false: Q is the vertex of Angles-> SOLUTION: - Find one counterexample to show that each conjecture is false.1. Otherwise, these angles are different. (xi) Alternate interior angles have one common arm. A pair of complementary angles is 100. True or False? If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is (a) 1 (b) 2 (c) 3 (d) 4 Solution: Two lines are intersected by a transversal then a number of pairs of interior angles on the same side of the transversal is two. Answer. If one angle of a linear pair is acute, then the other angle is (a) acute (b) obtuse (c) right (d) straight Solution: If one angle of a linear pair is acute, then the other angle will be obtuse. Find the value of x in each figure. then each pair of corresponding angles are equal. Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): (v) Pair of vertically opposite angles are always supplementary. How To Find The Area Of A Triangle, Given Only Two Angles And One Side? Two right angles can be supplementary Get the answers you need, now! (a) acute Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): Solution: (i) In the given figure, Given ∠s are 72° and 55° a = 55° (Corresponsing angles) c = 72° (Alternate angles) But b + c + 55° = 180° (Angles on the one side of a straight line) ⇒ b + 72° + 55° = 180° ⇒ b + 127° = 180° ⇒ b = 180° – 127° = 53° a = 55, b = 53°, c = 72° (ii) In the given figure, Given ∠s are 135° and 110° p = 135° (Alternate angles) p + r + 110° = 360° (Angles at a point) ⇒ 135° + 110° + r = 360° ⇒ 245° + r = 360° ⇒ r = 360° – 245° = 115° But r + q = 180° (Co-interior angles) ⇒ 115° + q = 180° ⇒ q = 180° – 115° = 65° p = 135°, q = 65°, r = 115° (iii) In the given figure, Given angle is 110° p = ∠1 (Vertically opposite angles) But ∠1 + 110° = 180° (Co-interior angles) ⇒ ∠1 = 180° – 110° = 70° ⇒ p = ∠1 = 70° s = 110° (Alternate angles with 110°) p = q (Corresponding angles) q = 70° r = q (Alternate angles) r = 70° Now, p = 70°, q = 70°, r = 70°, s = 110°, ICSE Previous Year Question Papers Class 10, ML Aggarwal Class 7 Solutions for ICSE Maths, Concise Mathematics Class 10 ICSE Solutions, Concise Chemistry Class 10 ICSE Solutions, Concise Mathematics Class 9 ICSE Solutions, Thank You Letter for Job Interview, Friend, Boss, Support | Appreciation and Format of Thank You Letter, How To Write a Cover Letter | Format, Sample and Important Guidelines of Cover letter, How to Address a Letter | Format and Sample of Addressing a Letter, Essay Topics for High School Students | Topics and Ideas of Essay for High School Students, Model Essay for UPSC | Tips and List of Essay Topics for UPSC Exam, Essay Books for UPSC | Some Popular Books for UPSC Exam, Sample Essay for UPSC | How to Prepare and Important Essay Topics for UPSC Exam, IAS Essay Topics | Important List of IAS Essay Topics for Students and Children in English, CAPF Essay Topics | Important Topics of CAPF Essay for Students and Children in English, Value of Games Essay | Essay on Value of Games for Students and Children in English, Bullying in Schools Essay | Essay on Bullying in Schools for Students and Children in English. 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