Question

In the figure, line m ∥ line n and line l is their transversal ∠ACB = 75°. Find i) ∠DCF ii) ∠CFG​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

HERE IS THE PROVED EXPLANATION

Step-by-step explanation:

In the given figure, ∠e+∠g does not add up to  

180

˚

, as they are alternate angles and are equal, ∠e=∠g

where as:

A. ∠a will be equal to sum of ∠e and  ∠f as a is exterior angle and angle e and angle f are opposite interior angles.

So, ∠a+∠b+∠f=  

180

˚

 

B. ∠a+∠d=  

180

˚

 = interior angles on the same side of transversal is always supplementary

C. ∠a+∠e+∠f=  

180

˚

 =3 angles of a triangle always measure 180 degree.

D. ∠d+∠e=  

180

˚

 = adjacent angles creating a straight line are supplementary.