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Question

ABCD is a trapezium in which AB||DC and A=B=45º. Find angles C andDof the trapezium.


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Solution

Finding the angles C andDof the trapezium:

According to given details

ABCDis a trapezium andA=B=45º

We know that angles opposite to each other in a quadrilateral are supplementary.

So, A+C=180º

45+C=180C=18045C=135°

Similarly, B+D=180º

45+D=180D=18045D=135°

Therefore the measures of remaining angles are C=135°,D=135°


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