Question

in the figure ab is parallel to CD find the value of x

Answer 1

X=100 I DO THIS BY MAKING PARALLEL LINE TO AB AND CD
THEN BY CO INTERIOR ANGLE I FIND UPPER VALUE AND LOWER VALUE OF X AND ADD THEM

Answer 2

Answer:

x = 100

Step-by-step explanation:

Explanation :

Given , AB || CD

  ∠ ABE = 120 °

and ∠CDE = 140°

  ∠ x = ?

Draw  a line segment which bisects the ∠x  and  parallel to AB and CD through point E .

∴ EF || AB ||CD

then ,EF || CD  and EF || AB

and ∠ x =∠1+∠2 .........(i)

Step 1:

EF ||AB

∴∠1 +120 °= 180 °    ( sum of co-interior angle is 180 ° )

∠1 = 180 - 120 = 60°

Step 2:

EF || CD

∠ 2 + 140 °=180 ° (sum of co-interior angle is 180°)

∠2 = (180 - 140) = 40 °

Step 3:

put the value of ∠ 1 and ∠2 in equation (i)

∴∠x =∠1+∠2

∠x = 60°+40° = 100°

Final answer :

Hence , the value of x is 100.