4. In figure, ABCD and AEFG are two parallelograms. If angle C -55°, then determine angle F.
C
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7
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
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