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Consider the following parallelogram . Find …

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Consider the following parallelogram . Find the value of the unknown x,y,z
  • 1 answers

Yogita Ingle 5 years ago

(i) 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∘ (vertically opposite angles)
x+y+30=180∘
y=180−120=60∘
z=y=60∘ (Alternate angles)
(iv) z=80,y=80 (Opposite angles)
x+y=180∘,x=180−80⇒x=100∘
(v) y=112∘ (opposite angles)
x+y+40=180∘ (Angle sum property)
x=180−152
x=28∘
z=x=28∘ (Alternate angles)

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