Question

In the given rectangle LEAF find angle EAL, angle LAF, and angle LOF, if angle FOA = 60 degree

plz find all three angles and show the whole method
spam not allowed ❌❌​

Answer 1

Answer:

LOE = FOA = 60 (V.O.A)

OA = OF (diagonals of a rectangle bisect each other)

OAF = AFO = x (angle oppo to equal sides are equal)

FOA + OAF + AFO = 180 (angle sum property of∆)

2x = 120

x = 60

LAF = OAF = 60 (extension of angle)

LOF + FOA = 180 (linear pair on line LA)

LOF = 120

EAL + LAF = 90 (right angle of a rectangle)

EAL = 30

Answer 2

Answer:

LOE = FOA = 60 (V.O.A)

OA = OF (diagonals of a rectangle bisect each other)

OAF = AFO = x (angle oppo to equal sides are equal)

FOA + OAF + AFO = 180 (angle sum property of∆)

2x = 120

x = 60

LAF = OAF = 60 (extension of angle)

LOF + FOA = 180 (linear pair on line LA)

LOF = 120

EAL + LAF = 90 (right angle of a rectangle)

EAL = 30

Step-by-step explanation: