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1. Find the values of x, y and z in the followingparallelograms.110, z, 40, x, y |
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Answer» Answer: (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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