ABCD is a parallelogram. Find the value of x, y, and z.
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Answered by
2
Step-by-step explanation:
From the figure
AD∥BC,BD is the transversal line
⟹∠ADB=∠DBC (∵alternate angles)
⟹z=30
∘
Also
100
∘
,x are supplementary angles
So x=180
∘
−100
∘
=80
∘
x,y,30
∘
forms a triangle
⟹x+y+30
∘
=180
∘
⟹y=180
∘
−80
∘
−30
∘
=70
∘
Answered by
1
Hey!
As we know that opp. angles of ll gm are equal
So, angle D = angle CBA
In ll gm sides are parallel
So angle D and angle A are co- interior angles
angle D + x = 180°
50° + x = 180°
x = 130°
So x = y { opp. angles are equal }
y = 130°
angle B forms a linear pair
So, angle CBA + z = 180
50° + z = 180°
z = 130°
.°. x = 130°
y = 130°
z = 130°
HOPE IT HELPS :)
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