NCERT Class 9 Solutions: Line and Angles (Chapter 6) Exercise 6.1 – Part 1

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Give relationship of Line and Angle,also give actual angle virtual angles,obtuse angle,complementary angle

Give Relationship of Line and Angle

Give relationship of Line and Angle,also give actual angle virtual angles,obtuse angle,complementary angle

Q-1 In the figure line ABandCD interact at O. If AOC+BOE=70° and BOD=40°, find BOE and reflex COE.

Give point of A,B,C,D,E,O on plane AB and CD interact at O

Give Point of a,B,C,D,E,O on Plane

Give point of A,B,C,D,E,O on plane AB and CD interact at O

Solution:

Given, in fig.point of A, B, C, D, E, O on the plane AB and CD interact with O

  • AOC+BOE=70°andBOD=40°

  • Equation,

AOC+BOE+COE=180° (Forms a straight line) 70°+COE=180° COE=110° also, COE+BOD+BOE=180° (Forms a straight line) 110°+40°+BOE=180° 150°+BOE=180° BOE=30°

Q-2 In figure, lines XY and MN intersect at O. If POY=90°anda:b=2:3 , find c

Give point X,Y,M,N,P on angle of a,b,c,o line XY and MN intersect at O

Give Point X,Y,M,N,P on Angle of a,B,C,O

Give point X,Y,M,N,P on angle of a,b,c,o line XY and MN intersect at O

  • Given, in figure X,Y,M,N,P at angle of a, b, c, o

  • POY=90° and a:b=2:3

  • equation, POY+a+b=180°90°+a+b=180°a+b=90°

  • Let a be 2x then will be 3x 2x+3x=90° (a=2x&b=3x) 5x=90°x=18°a=2×18°=36°b=3×18°=54°

    Also, b+c=180° (Linear Pair) 54°+c=180°c=126°

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