Consider rectangle ABCD If mADF60 then what is the mFDC a 60

Consider rectangle ABCD. If mADF=60°, then what is the mFDC?

a) 60°

b) 30°

c) 90°

d) 120°

e) 45°

f) None of the above

Solution

Given figure ABCD is a rectangle.
Looking into the properties of rectangle,
1) All the angles in a rectangle are right angles i.e. equal to 90 degrees.
2) Opposite sides are parallel and equal.

By the first property stated above,
m(D) = 90 degrees
Angle D can be written as given in the following
m(D) = m(ADF) + m(FDC) = 90
Given m(ADF) = 60
Therefore, 60 + m(FDC) = 90
m(FDC) = 30 degress.

Hence option B) 30 is the required answer.