Question

3.consider the following parallelogram
FIND THE VALUE OF THE UNKNOW X,Y,Z​

Answer 1

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Answer 2

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8th

Maths

Understanding Quadrilaterals

Parallelogram

Consider the following para...

MATHS

Consider the following parallelograms. Find the values of the unknowns x,y,z

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MEDIUM

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ANSWER

(i) x+100=180 [Adjacent angles]

x=80

z=x=80

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[opposite angles are equal]

y=100

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(ii) 50+y=180

y=130

∘

x=y=130

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and z=x=130

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(corresponding angles)

(iii) x=90

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(vertically opposite angles)

x+y+30=180

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y=180−120=60

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z=y=60

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(Alternate angles)

(iv) z=80,y=80 (Opposite angles)

x+y=180

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,x=180−80⇒x=100

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(v) y=112

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(opposite angles)

x+y+40=180

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(Angle sum property)

x=180−152

x=28

∘

z=x=28

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(Alternate angles)