ABCD is a square and ABE is an equilateral triangle. Find the value of (i)AED
Answers
Answered by
0
Answer:
As ABE is an equilateral triangle, hence
∠ABE=600 .......(i)
AB=BE
And ABCD is a square hence
∠ABC=900
AB=BC........(ii)
By (i) and (ii) we get
BC=BE
In triangle BCE
∠BEC=∠BCE [angles opposite to equal sides are equal]
Also
⟹∠BEC+∠BCE+∠CBE=1800 [Angle sum property]
⟹∠BCE+∠BCE+(∠ABC+∠ABE)=1800
2⟹∠BCE+(900+600)=1800
2⟹∠BCE=1800−1500
⟹∠BCE=150
As diagonals of the square bisect the interior angle, hence
∠ACD=9002=450
∠BCD=∠ACD+∠ACE+∠BCE
⟹900=450+∠ACE+150
⟹∠ACE=900−600
⟹∠ACE=300
⟹∠ACE=12(600)
⟹∠ACE=12(∠ABE)
Step-by-step explanation:
Answered by
1
Answer:
answer for the given problem is given
Attachments:
Similar questions