in the figure 10.14, l//m. find <X,<y and<z.
if you give the the correct answer with process I will mark your answer in brain least and give 25 points
Answers
Answer:
<x=110
<y=140
<z=70
Step-by-step explanation:
<40 and w form a linear pair
<w=180-40=140
<w=140=<y [since these are corresponding angles]
<110=<x [since these are corresponding angles]
<x and <z = linear pair
<z=180-110=70
hence proved now please mark me as the brainliest
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=?
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