Question

ABCD is a parallelogram whose diagonals bisect at O. If angleC = 550 find then angle D​

Answer 1

Answer:

ABCD and AEFG are two parallelograms sharing two sides AD (or AG) and AE (or AE) and the included angle.

∠C=55

o

.

To find out- ∠F

Solution-

We have ∠F=∠A ......(opposite angles of a parallelogram).........(i)

Again ∠A=∠C ......(opposite angles of a parallelogram)...........(ii)

∴∠F=∠C ......[From (i) and (ii)]

And ∠C=55

o

.......(given)

⇒∠F=55

o