Math, asked by ms9006290873, 8 months ago

abcd is a parallelogram find x,y,z​

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Answered by Anonymous
3

Answer:

angle BAD = angle CDA ( OPPOSITE ANGLES OF A PARALLELOGRAM ARE EQUAL)

125° = 56°+y

125°-56°=y

69° = y

angle BAD+ angle ABC = 180° ( consecutive angles are supplementary )

125° + angle ABC = 180°

angle ABC = 180°-125°

angle ABC = 155° = x ( opposite angles of a PARALLELOGRAM are equal )

we can also see that BCE is a triangle and z is an exterior angle of the triangle BCE , so

z= angle EBC + angle BCE ( sum of two interior opposite angles of a triangle is equal to the exterior angle of the triangle )

z= 56° + 155°

z= 211°

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