Question

In the figure below, ABCD is a rectangle and BGDF is a parallelogram. Which is mGDA?
Answer 30 degrees
35 degrees
45 degrees
60 degrees

Answer 1

where is the figure???

Answer 2

In the figure, 120 is the measure of angleBGD ???

Answer 3

????
I am talking about the 120 written in the figure you have attached above to this question...

Answer 4

yes

Answer 5

If yes,
then ∟BGD + ∟DGA = 180 DEG ---- Linear Pair of angles
=> 120 + ∟DGA = 180 deg
=> ∟DGA = 180 - 120 = 60 deg

consider ▲GDA, which is right angled at A because ABCD is a rectangle

∟DGA + ∟GAD + ∟GDA = 180 deg angle sum property of a triangle
=> 60 + 90 + ∟GDA = 180 DEG
=> ∟GDA = 180 - 150 = 30 deg

so m∟GDA = 30 deg