Mathematics

# In an isosceles-trapezium, show that opposite angles are supplementary.

##### SOLUTION
Given $ABCD$ is isoscles trapezium in which $AD=BC$
To prove: $(i)\angle A+\angle C=180$
$(ii)\angle B+\angle D=180^{o}$
Proof:$AB\parallel CD$
$\Rightarrow \angle A+\angle D=180$
But $\angle A=\angle B$[Trapezium is isosceles]
$\angle B+\angle D=180^{o}$
Similarly $\angle A+\angle C=180^{o}$
Hence the result.

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Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
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