Question

Please solve this and explain:

Answer 1

Answer:

a)< C = 66 because in an isosceles triangle, angles opposite to equal sides are equal.

b) <B=  180- (66+66)= 180- 132= 48 [< sum property of triangles]

If we extend DE to a point G on AB, <DGB= 180-(90+48)= 42 [< sum property of triangles]

Then, in triangle GFE,

<GFE= 180-90= 90[linear pair]

<FEG= 180- (42+90) = 48 [< sum property of triangles]

<FED= 180-48= 32[linear pair]