plzzzz help..........
Attachments:
Answers
Answered by
125
ɢɪᴠᴇɴ :-
Measure of ∠FED = 90° .
AB is parallel to CD i.e. AB || CD .
Measure of ∠GED = 126°
ᴛᴏ ғɪɴᴅ:-
The values of ∠AGE , ∠GEF & ∠FGE .
ᴀɴsᴡᴇʀ :-
Alternate Interior angles are equal.
Sum of co - interior angles is 180° .
Alternate exterior angles are equal.
The measure of straight line is 180°.
Since here AB || CD , so ∠AGE and ∠GED are co-interior angles . Hence they will be equal .
So ,
___________________________________
___________________________________
Firstly let's find ∠ CEG , since ∠ FGE and ∠CEG are alternate interior angles , So they will be equal . Hence we can subsitute ∠ FGE in place of ∠CEG .
Answered by
1
Answer:
Given :-
AB || CD ,EF ⊥ CD
∠GED = 126°
Find :-
GEF , FGE and AGE
Solution :-
Diagram :-
1. ∠AGE = ∠GED = 126∘ [alternate interior angles]
- ∠GED = ∠GEF + ∠FED = 126°
2. ∠GEF + 90° = 126°
- ∠GEF = 126° − 90°
- = 36° { By EF⊥CD }
- ∠GEF = 36°
3. ∠CEG + ∠GED = 180°
As from the given
- ∠CEG + 126° = 180° { By linear pair Axiom }
- ∠CEG = 180° − 126°
- ∠CEG = 54°
- ∠FGE = ∠CEG = 54° { By Alternate int. angles }
Similar questions