in the figur 10.14,l||m. find angle x, y and z
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Given :-
- l || m .
- ∠ABC = 40° .
- ∠GFB = 110°.
To Find :-
- ∠x , ∠y and ∠z = ?
Solution :-
→ ∠ABC + ∠ABF = 180° { Linear pair. }
→ 40° + ∠ABF = 180°
→ ∠ABF = 180° - 40°
→ ∠ABF = 140°
so,
→ ∠ABF = ∠BDE { Corresponding angles. }
then,
→ ∠y = 140° (Ans.)
similarly,
→ ∠GFB = ∠FED { Corresponding angles. }
then,
→ ∠x = 110° (Ans.)
therefore,
→ ∠x + ∠z = 180° { Linear pair. }
→ 110° + ∠z = 180°
→ ∠z = 180° - 110°
→ ∠z = 70° (Ans.)
Learn more :-
In ABC, AD is angle bisector,
angle BAC = 111 and AB+BD=AC find the value of angle ACB=?
https://brainly.in/question/16655884
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