Question

value of x CLASS 9 ​

Answer 1

$x = 75° </p><p> </p><p> </p><p></p><p><hr>....................</p><p>$

Answer 2

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Answer:

∠X=75°

Step-by-step explanation:

CONSTRUCTION:Draw a line EF parallel to AB and CD such that it passes through ∠X.

Solution:

Mark the point G at which 35° angle is formed.

Mark the point H at which 145° angle is formed.

∠FXG=∠XGC=35°   (Alternate interior angles are equal)

∠BHX+∠HXF=180°   (Co-interior angles have a sum of 180)

140°+∠HXF=180°

∠HXF=180°-140°

∠HXF=40°

NOW,

∠X= ∠HXF+∠FXG

∠X=40°+35°

∠X=75°

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