Question

In the above figure ABllCD,EFllDQ. Determine the measures of angle PDQ, angle AED and angle DEF.​

Answer 1

Answer:

<PDQ=68°, <AED=34°, <DEF=68°

Step-by-step explanation:

ABllCD

<PDC=<DEA........... corresponding angles are equal

therefore <DEA=34°

Now,

<DEA+<DEF+<FEB=180°...........angles in linear pair

34°+<DEF+78°=180°

<DEf+112°=180°

<DEF=68°

EFllDQ

<DEF=<PDQ.......... corresponding angles

<PDQ=68°

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