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Cccep \DEEEP Stupy CenteR|}] MATHS MCQ TEST | CLASS, STUDYY Ger deceper to fly higher (Lines and Angles) Ix, , M.M.-25, , , , , , Time : 45 Min, Solve any 20 questions from 25 MCQ. Case study (5 Q.) is compulsory., , 1, In Fig. 4.6, the value of x is, , (a) 80° (b) 20° (c) 40° (d) 60°, c, , Set ax (3x + 20)°f (4x -36)°, , R B c k oO B, Fig. 4.6 Fig. 4.7, , 2. In Fig. 4.7, AOB is a straight line; ZAOC = (3x + 20)° and ZBOC = (4x — 36)°., Then, the value of x is (a) 32° (b) 28° (c) 26° (d) 24°, , 3, In Fig. 4.8, AOB isa straight line, ZAOC = (3x-8)°, ZCOD = 50° and ZBOD = (x + 10)°, , Then the value of x is:, (a) 32° (b) 42° (c) 36° (a) 52°, , , , c, 50”, °, si o, Fig. 4.8 Fig. 4.9, 4. In Fig. 4.9, two lines AB and CD intersect at O. If ZAOC = 50°, then, ZBOD and ZAOD are respectively, (a) 130°, 50° () 50°, 130° (c) 60°, 120° (d) 40°, 140°, 5. In Fig. 4.10, straight lines AB and CD intersect at O. If 45 = 320, ha vis, (a) 40° (b) 45° (c) 50° (a) 55, , , , Fig. 4.10 Fig. 4.11, 6. In Fig. 4.11, if ZPOS = 90°, then the measurement of ZROQ is, (a) 30° (b) 45° (ce) 90° (d) 180°, , 7. In Fig. 4.12, if OE is the bisector of ZAOD, then the values of x and y are respectively, (a) 45°, 45° {b) 66°, 48° (c) 48°, 66° (a) 30°, 60°
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: i, c_AB ‘a, , Fig. 4.12 Fig. 4.13, , 8, In Fig. 4.13, if! || mand ZA = 65°, then the ZC is:, (a) 110° (b) 115° (c) 120° (d) 135°, , 9. In Fig. 4.14, AB || CD, ZABE = 35°, ZCDE = 65° and ZBED = x°. Then the value of x is:, (a) 30° (6) 100° (c) 125° (d) 145°, , B A B, 110°, EQ)x*, 420°, D, , Fig. 4.14 Fig. 4.15, 10. In Fig. 4.15, AB|| CD and ZBAE = 110°, ZECD = 120° and ZAEC = 2°. Then, the value of, x is:, (a) 130° (b) 65° (0 75° (@) 10°, 11, In Fig. 4.16, AB || CD, ZABE = 120°, ZDCE = 100° and ZBEC = x°. Then, the value of x, is:, , , , (a) 60° (b) 50° (c) 40° (d) 70°, , , , Fig. 4.16 Fig. 4.17, 12. The angles of a triangle are in the ratio 2 : 3 : 7. The measurement of the smallest angle, is:, (a) 90° (6) 60° (c) 45° (4) 30°, 13. Ina AABC, if 2A = 3B = 6ZC, then the measurement of ZB is:, (a) 30° (b) 90° {e) 60° (d) 45°, 14. The angles of a triangle are (3x), (2x - 7)° and (4x ~11)°. Then, the value of x is:, (a) 18° (b) 20° (c) 22° (a) 30°, , 15. Ina AABC, 2A ~ 2B = 33° and ZB- ZC = 18°, then the measure of ZB is:, (a) 35° (b) 55° {e) 45° (@) 57°
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16. In Fig 4.17, the bisectors of the exterior 2B and ZC of AABC meet at O. If ZBAC = 60°, and ZABC = 70°, then the measurement of ZBOC is:, , (a) 50° (b) 60° {e) 70° (d) 80°, , 17. In Fig. 4.18, if AB | CD |] EF, PQ |] RS,, ZRQD = 25° and ZCQP = 60°, then, , ZQRS is equal to:, (a) 85° (b) 135°, (c) 145° (d) 110°, , 18. If one angle of a triangle is equal to, the sum of the other two angles, then, the triangle is, , (a) an isosceles triangle, (b) an obtuse triangle, , (c) an equilateral triangle, (d) a right triangle, , 19. An exterior angle of a triangle is 105° and its two interior opposite angles are equal., Each of these equal angles is, , , , Fig. 4.18, , (@) 1° b th 7” °, x75 (6) 52 () 2S (d) 75, 20. The angle of a triangle are in the ratio 5 : 3: 7. The triangle is, (a) an acute angled triangle (6) an obtuse angled triangle, (c) a right triangle (d) an isosceles triangle, 21. Ifone of the angles of a triangle is 130°, then the angie between the bisectors of the other, two angles can be “, (a) 50° (o) 65° (c) 145° “, , 22. In Fig. 4.19, POQ is a line. The value of x is, , ax, , , , 40" 3x, P o Q, Fig. 4.19 Fig. 4.20, (a) 20° (b) 25° (c) 30° (d) 35°, 23. In Fig, 4.20, if OP | RS, ZOPQ = 110° and ZQRS = 130°, then ZPQR is equal to, (a) 40° (b) 50° (e) 60° (d) 70°, , 24. Two angles measure (30—a)° and (125 + 2a)°. If each one is the supplement of the other,, then the value of a is, (a) 45° (b) 35° (c) 25° (d) 65°, , 25. If the measurement of an angle is twice the measurement of its supplementary angle,, then the measurement of the angle is:, {a) 60° (b) 90° (c) 120° (d) 130°
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Case Study, , Sports teacher know yoga, She asked, Kriti to show yoga postures. She made, marks on angles. She showed acute,, obtuse and right angle through yoga, postures., , , , Based on the above information,, answer the following questions., , 26) The exterior angle of a triangle is, equal to the, (a) sum of the two interior opposite angles, (b}sum of the three interior angles, (c) difference of two interior angles, {d) opposite of the interior angle., , 27) The value of x in the figure is, , L\, 146°, ‘A SS, (a)70° (p)80°, (c) 65° (d)90°, , , , , , DEEEP STUDY CENTER, Ger deceper 10 fly higher, , 28) The value of ‘y’ in the figure is, , xy 62°, 74°, , (a)60° (b) 45°, (c)32° (d)22°, , 29) The value of ‘m’ in the figure is, , 120°, , (a)60° (b)70°, (c} 40° (d)50°, , 30) The value of z in the figure is, , 20° +2, 70°, (a) 180° (b) 160°, (c) 210° (d) 245°