Question

in the given figure, ABCD and EFGC are
parallelograms, if angleD = 120°, then the
measure of angleF is
(i) 160°
(ii) 120°
(iii) 60°
(iv) 40°​​

Answer 1

Answer:

Concept:

See , the total angle of the parallelogram is 360° .If u will do the sum of A , B , C , D angle is 360 ° .Because their 2 sides are adjacent .

So , total sum of FGEC also be 360° .

Solution:

Let the angle of F be 2x .

2x+120°=360°

2x=360°-120°

2x=240°

x=240°/2

x=120° is the answer.

Verification:

See the two sides of parallelogram is adjacent . So , then 120°+120°=240°.

Now , 2x = 360°-240°

2x=120°

x=120°/2

x=60°

So , their sum is 360° .

Answer 2

60 degree is the correct answer