Question

In the given figure, AB || CD. Find the value of x.
plzzz answer me fast and correct
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Answer 1

Answer:

if two sides of the triangle are equal than there must be two angle are equal AB//CD//EC

From the figure CE//EF

X=30

Answer 2

X = 45°

Step-by-step explanation:

GIVEN

AB || CD

A = 75°

F = 30°

___________________________

TO FIND

X

___________________________

We know that,

AB || CD

Therefore,

A = C

75° = C

C = 75°

___________________________

Now

We have C = 75°

We know that,

C and G are linear pair

We know that,

Addition of linear pair is 180°

Therefore,

C + G = 180°

75° + G = 180°

G = 180° - 75°

G = 105°

G = 105°

___________________________

Now

We have F = 30° and G = 105°

We know that,

EFG is a triangle

And

F = 30°

G = 105°

We know that,

Measure of all angles of a triangle is 180°

Therefore,

E + F + G = 180°

X + 30° + 105° = 180°

X + 135° = 180°

X = 180° - 135°

X = 45°

X = 45°