Question

Find x,y,z in the given parallelogram ABCD.

Answer 1

angle y = 45 degree

angle x = 70-y

= 25 deg

angle acd = 25

45 deg+25 deg + Z = 180

70 deg+z =180

z = 180 - 70

z= 110 deg

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Answer 2

Given, $\angle DAC=45\°$ and $\angle CBE=70\°$

Now, $\angle z+45\°+\angle x = 180\°$...(1)($\because$ each pair of co-interior angles is supplementary)

$\angle x=\angle ACD$...($\because$ alternate angles)

$\angle x+\angle y=70\°$ ....(2)($\because$ Sum of interior angles = exterior opposite angle)

$\angle CBA=180\°-70\°=110\°$ ($\because$ Supplementary angles)

$\angle z=\angle CBA=110\°$ ($\because$ Opposite angles in a parallelogram are equal)

From (1): $\angle x=180\°-45\°-\angle z=135\°-110\°=25\°$

From (2):$\angle y=70\°-\angle x=70\°-25\°=45\°$

Answer: $\angle z=110\°, \angle x=25\°, \angle y=45\°$

To learn more about the properties in the parallelogram, click on the following links:

https://brainly.in/question/51406908?msp_srt_exp=5

https://brainly.in/question/37999422?msp_srt_exp=5

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