Practice Worksheet 1.5A – Angle Bisectors
Geometry Homework
For # 1-5, EF bisects DEG . (The diagram is not drawn to scale.)
1. If mDEG  88 , find mFEG = ________
2. If mFED  27 , find mGED = ______
3. If mDEF  3x  1 and mDEG  5 x  19 , find the value of x.
4. If mDEF  5 x  3 and mFEG  2 x  15 , find the value of x.
5. If mFEG  6 x  7 and mFED  2 x  41 , find the mDEG . (solve for x first!)
For #6-9, BX is the BISECTOR of ABC. (Diagrams are not drawn to scale)
6.
If mABX  5 x and mXBC  3x  10 , find the mABC . (Solve for x first!)
7. If mABC  4 x  12 and mABX  24 , find the value of x.
8. If mABC  4 x  16 and mCBX  3x  6 , find the value of x.
9. If mABC  5 x  18 and mCBX  2 x  12 , find the value of x, and the mABC .