Question

find the value of x, y and z in the following parallelogram ​

Answer 1

Answer:

Step-by-step explanation:

angle z=110 degrees (opposite angles of a parallelogram)

the angle near x will name as angle "a".

so, angle y=angle a (opposite angles of a parallelogram)

angles of parallelogram=360 degrees

110+110+y+a=360 degrees

-->220+y+a=360

-->y+a=360-220

-->140 degrees

as y and a are equal 140/2 is equal to 70 degrees.

angle a=70 degrees

angle y=70 degrees

angle x= 180-a(linear pair)

-->x=180-70

-->x=110 degrees.

Therefore, the values of

z=110 degrees

y=70 degrees

x=110 degrees