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Standard IX

Mathematics

Trapezium

In the adjoin...

Question

In the adjoining figure, ABCD is a trapezium in which AB II DC. If $∠ A = 55^{\circ} a n d ∠ B = 70^{\circ}$ , find $∠ C ∠ D$ .

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Solution

AB || DC we have
<A + <D = 180°
55°+ <D = 180°
<D = 180°-55°
= 125°
also,
<B + <C = 180°
70° + <C = 180 °
<C = 180°-70°
= 110°

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In the adjoining figure, ABCD is a trapezium in which AB II DC. If ∠A=55∘ and ∠B=70∘, find ∠C ∠D.

AB || DC we have <A + <D = 180° 55°+ <D = 180° <D = 180°-55° = 125° also, <B + <C = 180° 70° + <C = 180 ° <C = 180°-70° = 110°

In the adjoining figure, ABCD is a trapezium in which AB II DC. If $∠ A = 55^{\circ} a n d ∠ B = 70^{\circ}$ , find $∠ C ∠ D$ .

AB || DC we have
<A + <D = 180°
55°+ <D = 180°
<D = 180°-55°
= 125°
also,
<B + <C = 180°
70° + <C = 180 °
<C = 180°-70°
= 110°