# plz answer this question. its urgent

## Answers

**Answer:**

**given - DE//GH**

**A. angle HGF = angle DEF = 75° [ alternate interior angles]**

**B. angle CFG = 25° + 75° [ EXTERIOR ANGLE SUM PROPERTY ]**

**now ,**

**C. 25° + 75° + angle GFH = 180° [ triangle sum property]**

** angle GHF = 180°-100° = 80°**

**so, angle CFE = angle GHF = 80° [ vertically opposite angles]**

**now , **

**D. 85° + 75° + 80 + angle CDE = 360° [ quadrilateral sum 360°]**

** angle CDE = 360 - 240 = 120°**

**HOPE IT HELPS YOU VERY WELL**

**Answer:**

angle HGF =75°

angle CFG=100°

angle CFE=80°

angle CDE=120°

**Step-by-step explanation:**

*angle DEF =angle FGH... alternate angle

*angle CFG=100° ..........exterior angle for triangle HGF,so direction of two interior angles.... angle FHG+angle FGH. i.e 25°+75°=100°

*angle CFE =80°....cause angle HFG = 80°and this both are opposite angles and angle HFG is 80 degree because the addition of angle FHG and angle HGF is equals to 100 and 360°-100° =80°

*angle CDE=120°....... angle DEF +angle CEF+ angle FCD -360° =120°

HOPE SO IT HELPES