Question

In the adjoining figure, ABCD
a parallelogram. Find the
values of x,y and z​

Answer 1

Answer:

x=3,y=128z= 28

Step-by-step explanation:

as it is a parallelogram

so angle B + angle D =180 ( opposite angle are supplementary)

102+D=180

D=180-102

= 78

In triangle ADC

A+D+C = 180 (ANGLE SUM PROPERTY)

50+78+ C = 180

128+C=180

C=180-128

C=52

C+y=180(linear pair)

52+ y =180

y=180-52

y=128

DC=AB(opposite sides are equal)

2x+2=3x-1

3x-2x=2+1

x=3

DC || AB

DAC=ACB (ALTERNATE INTERIOR ANGLES)

ACB = 50

IN ABC

B+ C+Z=180(ANGLE SUM PROPERTY)

102+50 + Z =180

Z = 180-152

Z= 28

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