Math, asked by riyasheeja, 7 days ago

plz answer this question. its urgent​

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2

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

0

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

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