If y = 50 and z = 85 then x in degrees is
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50
Step-by-step explanation:
BDE + EDA = 180 degree
85 + EDA =180
EDA = 95 degree
Now, angle A + EDA + DEA = 180 [Angle sum property of triangle]
=> 50 + 95 + DEA = 180
=> 145 + DEA = 180
=> DEA = 180-145 = 35 degree
Now, AED = FEC = 35 degree [ Vertical Opposite angles]
ECF = 90 degree
So, FEC + FCE + EFC = 180 [Angle sum property of triangle]
=> 35 + 90 + x = 180
=> 125 + x = 180
=> x = 180 - 125 = 55
Hence, x=55
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