Question

with solution plz
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Answer 1

Answer:

x = 92°

Step-by-step explanation:

Given that AB || CD and /_A = 128°, /_F = 144°. We need to find out the value of x.

To find the value of x construct a line FG parallel to AB and CD.

Now,

AB || FG

/_FAB and /_AFG are complementary to each other

So,

/_FAB + /_AFG = 180°

Substitute the values,

→ 128° + /_AFG = 180°

→ /_AFG = 180° - 128°

→ /_AFG = 52°

Also,

→ /_AFG + /_GFC = 144°

→ 52° + /_GFC = 144°

→ /_GFC = 144° - 52°

→ /_GFC = 92°

As FG || CD. So, /_GFC = /_DCE

Therefore,

/_DCE = x = 92°

Hence, the value of x is 92°.

Answer 2

Answ92°

Step-by-step explanation:

extend all the lines then you could see a triangle

that will be AFZ(Z is extra taken by me you can take anything)

AB and CD are parallel take transversal EF

angle A = x(alternate interior angle)

angle z= 180-128= 52° (linear pair)

angle F=180-144=36°

therefore angle x = 180-(52+36)° (angle sum property of a triangle )

=x=180-88°

=x=92°

therefore the answer is 92°

please check if any calculation error but the method is correct