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In a trapezium EBCD with EB || DC, find angles a, b, and c given angle CDE = 58 degrees, angle EBC = 110 degrees, and angle BCD = 70 degrees.
Mathematics
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Step-by-step solution
2 stepsHere's how to find the values of angles a, b, and c:
Identify properties of the trapezium .
The arrows on lines and indicate that . Therefore, is a trapezium.
In a trapezium with parallel sides and , the consecutive interior angles between the parallel sides and a transversal are supplementary.
For transversal : .
For transversal : .Calculate angle .
Using the transversal :
$\angle DEB + \
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