Question

ABCD is a parallelogram. Find x, y, z. State the properties used.​

Answer 1

Answer:

CD=AB(opposite sides of llgm are equal)

2x+2=3x-1

x=3

∠ADC=102(opposite angles of ll gm are equal)

∠adc+∠dac=y=50+102=152(EXTERIOR ANGLE PROPERTY)

50+z+102=180(cointerior angles)

z=28

Answer 2

Answer: 2x+2=3x-1              (since opposite side of parallelogram are equal )

so x=3

∠A+∠B=180°       (sum of angles on same base but another line parallel       50+Z+102=180                                 makes 180)

Z=180-152

Z=28°

∠DCA= z                            (alternate interior angle )

∠DCA =28

so ∠DCA + y =180                       (linear pair)

y=180-28

y=152

Step-by-step explanation:

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