Use the figure below to complete the following problem.
Given:
FLAG is
GXYZ is
∠Y = ∠
X
A
L
what is the answer ??!!!
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Given : FLAG is Parallelogram
GXYZ is Parallelogram
To Find : ∠Y = ∠
∠X = ∠
Solution:
FLAG is Parallelogram
=> FL || AG
Z on AG
Hence FL || GZ
AL || GF
=> AL || GX
GXYZ is Parallelogram
GX || YZ
AL || GX ( shown above)
=> AL || GX || YZ
GZ || XY
FL || GZ ( shown above)
=> FL || GZ || XY
FL || GZ || XY
AL || GX || YZ
Hence FLAG ≈ XYZG
=> ∠F = ∠X
∠L = ∠Y
∠A = ∠Z
opposite angles of parallelogram are equal
Hence ∠F = ∠X = ∠A = ∠Z
∠L = ∠Y = ∠G
∠Y = ∠L
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