Others Maths Puzzle

An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD in degrees?
A] 75
B] 90
C] 120
D] 135
E] 150

Read Solution (Total 4)

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8 years agoHelpfull: Yes(2) No(0)

e 150
ab=bc=cd=ad=bp=bc
10 years agoHelpfull: Yes(0) No(1)
150 PB=AB, So angle APB= 75,similarly angle CPD=75 & Angle BPC= 60 AS BPC is equilateral.
Angle APB=150
8 years agoHelpfull: Yes(0) No(1)
PBC = ∠CPB = ∠BPC (equilateral triangle) and PC = CD = a.
CPD = ∠ PDC = 75 [(180 – 30)/2]
Similarly, ∠BAP = ∠BPA = 75
Hence ∠APD = 360 – (75 +75 + 60) = 150
7 years agoHelpfull: Yes(0) No(0)

Others Other Question

the leftmost digit of an integer of length 2000digits is 3.in this integer any two consecutive digits must be divisible by 17 or 23. the 2000 digit may be either a or b.what is the value of a+b?
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7 There r how many integers "n" in between :-1 & 10^7 including both, such that last 7 digits of n & n^3 r d same? (If n or n^3 has fewer than 7 digits then add 0s in d left & then compare d last 7 digits)
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d None of these