Question

4. In the given figure, AB || CD then value of x is:​

Answer 1

Answer:

given an parallel CD so angle CFB=105(CORRESPONDING ANGLES

THEN ANGLE SUM PROPERTY OF TRIANGLE SO

105+30+x=180

Now x=180-135

answer is 45

Step-by-step explanation:

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Answer 2

Given : AB || CD

To Find :   value of x

Solution:

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent.  

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Co-Interior angles are supplementary. ( adds up to 180°)

AB || CD  

Hence ∠FCD =  75°   as corresponding angles

 ∠FCD  is one of the exterior angle of triangle CEF

Exterior angle of triangle = sum of opposite two interior angles

=>   ∠FCD   = x°  + 30°

=> 75°  = x°  + 30°

=>  x° = 45°

=> x = 45

Value of x  is 45

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