In the following figure abcd and aefg are two parallelograms. if angle c = 60 then angle gfe is

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9th Standard CBSE

Mathematics

Time : 01:00:00 Hrs

Total Marks : 50

4. (a)

   A square is a rectangle

   (b)

   A square is a rhombus

   (c)

   A parallelogram is a trapezium

   (d)

   A kite is a parallelogram.

>

In the figure, ABCD and AEFG are parallelograms. If ∠ C = 55∘, what is the measure of ∠ E?

Solution

Given: ∠C=55∘

In the parallelogram ABCD, we have​

∠DAB=∠DCB....(i) (Opposite angles of a parallelogram)​

Similarly in parallelogram ∠GAE=∠GFE....(ii)

​ From (i) and (ii),​ we have

∠DCB=∠GFE=55∘ (∵∠DCB=∠C=55∘)AEFG,​

Hence ∠F=55∘

Mathematics

RD Sharma

Standard VIII