Answer:
∠ C = ∠BCD = 30°
Step-by-step explanation:
∠ EDF = ∠GFC = 110° [ corresponding angles ]
Now consider triangle BCF
∠FBC + ∠ABC = 180° [ straight line angle ]
∠FBC + 100° = 180°
∠FBC = 180 - 100 = 80°
∠BFC + ∠GFC = 180° [ straight line angle ]
∠BFC + 110° = 180°
∠BFC = 180 - 110 = 70°
Sum of angles of triangle is 180°
Therefore , in triangle BCF
That is ,
∠F + ∠B + ∠ C = 180°
70° + 80° + ∠C = 180°
∠C = 180 - 150 = 30°
Answer:
The largest rectangular space is
Step-by-step explanation:
Given a 20m long wire fence, implies that the perimeter of the fence has been given, because Perimeter can be defined as the length of the boundary of a figure (in this case, a rectangle)
So, from the formula: Perimeter = 2 (L + B) =
We have that L + B =
The possible values of L and B are:
(L, B) = (9, 1), (8, 2), (7, 3) and (6, 4).
The areas of the rectangle that will be formed using these values are respectively; ,
,
and
, the largest area of which is the last which corresponds to the values (6, 4).
The largest rectangular space that the gardener can enclose is therefore