Math, asked by asfiaamal20788, 9 months ago

Please give detailed explanation with formula

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Answered by sureshgowda24244
0

Answer:

AB∥CD and let EF and EG be the transversals.

Now, AB∥CD and EF is the transversal.

Then,

∠AEF=∠EFG [Alternate Angles]⇒y°=75°⇒y=75

Also,

∠EFC+∠EFD=180° [Since CFD is a straight line]⇒x+y=180⇒x+75=180⇒x=105

And,

∠EGF+∠EGD=180° [Since CFGD is a straight line]⇒∠EGF+125=180⇒∠EGF=55°

We know that the sum of angles of a triangle is 180°

∠EFG+∠GEF+∠EGF=180°⇒y+z+55=180⇒75+z+55=180⇒z=50∴x=105, y=75 and z=50

Step-by-step explanation:

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