Math, asked by bblbubbly1, 11 months ago

I will mark the first answer brainliest so please answer it fast

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Answers

Answered by Raja555
1
since ABCD is a square, show AB = BC = CD = AD
also he is an equilateral triangle, so AD = DE = AE
NOW WE CAN SAY
AB = BC = CD = AD = DE = AE
Now in triangle ABE,
we get AB = AE
which means ABE is an isosceles triangle.
and Angle BAE=angle BAE + angle DAE
→Angle BAE = 90° + 60° = 150°
SINCE ABE is an isosceles triangle,
we can say angle ABE = angle AEB.
SO in Triangle BAE,
angle ABE + angle AEB + angle BAE = 180°
2 × (angle ABE) = 180° - 150° = 30°
angle ABE = angle AEB = 15°.
now find your answer, it's easy now.

bblbubbly1: I just not needed answer instead I need solution
Raja555: thank you for asking.
Raja555: if you want solution tell me
Raja555: ok, I am giving a solution after making
akshit88: but how is it possible
akshit88: pls show the soln
Raja555: ya true 15 is not the final answer, but it's the end.
Raja555: thank you hope you understand
akshit88: but we have to find the value of Y
Answered by akshit88
1

if \: all \: sides \: are \: equal \: and \: all \: angles \: are 60  \: then \: it \: is \: an \: equilateral \: triangle

ABCD is a square, so all angles are 90. A=B=C=D=90.___1). EAD=60. So, In ∆AEB. EAB=EAF+FAB=60+90= 150______2). In ∆AEB, A+E+B=180. 150+x+x=180; we get, x=15. In ∆AED, E=60. AED=AEF+FED ; 60= 15+FED. so, FED=45. In ∆FED, D=60. F+E+D=180. so, F+60+45= 180. we get, F= 75. F=y =75
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