Question

Q4. In the given figure, ABIIED, find x.
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Answer 1

Answer:

x =62°

Step-by-step explanation:

62°=<ACE alternate interior angles

in triangleECF

36+x=62°(exterior angle property of triangle)

x=62-36

x=26°

Answer 2

Given : AB || ED

To Find :  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°)

∠DCF = 62°   Corresponding angles

∠DCF is exterior angle of ΔECF

exterior angle of  triangle = sum of opposite two interior angles

Hence ∠DCF = x + 36°

=> 62° =  x + 36°

=>  x= 26°

Value of x is 26°

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