1.

Find the value of unknowns x,y,z in the following paralleograms​

Answer»

Step-by-step explanation:

x+100=180 [ADJACENT angles]

x=80

z=x=80

∘

[OPPOSITE angles are equal]

y=100

∘

(ii) 50+y=180

y=130

∘

x=y=130

∘

and z=x=130

∘

(corresponding angles)

(III) x=90

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(vertically opposite angles)

x+y+30=180

∘

y=180−120=60

∘

z=y=60

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(ALTERNATE angles)

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

x+y=180

∘

,x=180−80⇒x=100

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(v) y=112

∘

(opposite angles)

x+y+40=180

∘

(Angle sum property)

x=180−152

x=28



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