Question

AB Is parallel to CD FE is perpendicular to EC AFE is 55 find angle a​

Answer 1

Answer:

45 degrees is the answer to this question and it is not wrong

Answer 2

The measure of angle a is 215° .

Explanation:

Given : AB Is parallel to CD .FE is perpendicular to EC.

i.e. ∠FEC= =90°

Construct a line say PQ parallel to AB and CD.

Then , ∠AFE and ∠FEQ are alternate interior angles.

∠FEQ = ∠AFE= 55°           [If two parallel lines cut by traversal then the alternate angles are congruent]

∠FEC= ∠FEQ + ∠PEC

⇒ ∠PEC = FEC-∠FEQ  =90° -55°   =35°  

∠PEC = ∠ECR = 35°

Then, ∠a = ∠ECR+ Straight angle

= 35°+ 180° = 215°

Hence, the measure of angle a is 215° .

#Learn more :

In the given figure AB parallel to CD, AFis parallel to ED , angle AF C is equal to 68DEGREE and Angle FED is equal to 42 degree find angle EFD

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