Math, asked by Prabhleen324, 11 months ago

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Answered by Anonymous

Answer:

Given - a parallelogram ABCD

To find - x , y , Z

Solution

Angle D = angle A ( opposite angles are equal in a parallelogram)

Z = 75°

angle 75 + angle X = 180° ( adjacent angle are supplementary in a parallelogram)

75 + x = 180

x = 180- 75

x = 105°

As we know that parallelogram can be divided into 2 congruent triangle

here , 2 congruent triangle are ABC and ADC

angle a = angle C ( opp. angles)

AB =CB ( angle opposite to equal side of a triangle are equal )

13 = y+ 4

13 - 4= y

9 = y

hence , X= 105 ° , Y = 9 cm , Z = 75°

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