Question

If GP=PH, GA =17, mED = 37, and mAB = 87, find each measure.

Answer 1

We know that
mAB = 87°
mED = 37°
mEFA=mBCD
360°=mAB+mED+mEFA+mBCD
360=87+37+2mBCD------> mBCD=[360-87-37]/2----> mBCD=118°

therefore
m BCD=118°
m FA=m EFA/2-----> m FA=118/2----> 59°
m FA=59°
m DC=m BCD/2----> m DC=118/2----> 59°
m DC=59°

HB=GA------> HB=17
DB=2*HB----> DB=2*17-----> DB=34

EG=GA------> EG=17

the answers are
DB=34
EG=17
mBCD=118°
mFA=59°
mDC=59°