in the given figure,ABCD is the parallelogram find the value of x,y,z,p
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Refer The Attachment ⬆️
- x = 110°
- y = 110°
- z = 70°
- p = 70°
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Answered by
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Step-by-step explanation:
Given :-
ABCD is a Parallelogram
To find :-
Find the values of P,X,Y,Z ?
Solution:-
Given that
ABCD is a Parallelogram.
and
∠EBA = 110°
∠EBA and ∠ABC are linear pair.
∠EBA + ∠ABC = 180°
=> 110° + Z = 180°
=> Z = 180° - 110°
=> Z = 70°
The value of Z = 70°
and
We know that
In a Parallelogram
Opposite angles are equal.
∠ABC = ∠CDA
=> Z = P
=> P = 70°
The value of P = 70°
and we know that
Adjacent angles are supplementary in a Parallelogram
∠CDA + ∠DAB = 180°
=> 70° + Y = 180°
=> Y = 180°-70°
=> Y = 110°
The value of Y = 110°
In a Parallelogram
Opposite angles are equal.
Y =X
X = 110°
The value of X = 110°
Answer:-
The value of X = 110°
The value of Y = 110°
The value of P = 70°
The value of Z = 70°
Used formulae:-
- Adjacent angles are supplementary in a Parallelogram
- Opposite angles are equal. in. paralellogram
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