Math, asked by rishavxcb, 1 year ago

please answer me this question i will mark him brainleist

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Answered by aryanpahuja2004
0
since AB//CD and BC is a transversal
25+y=75 (alternate interior angles)
y=75-25
y=50

Since EF//CD and FC is a transversal
x+25=180 (co interior angles)
x=180-25
x=155
Answered by rajeev378
11
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Here is your answer.

In the Given figure
/_ABC = 75°
/_BCF = y°
/_FCD = 25°
/_CFE = x°

/_ABC = /_BCD. ( Interior opposite angles)
/_ABC = /_BCF + /_FCD
75 = y + 25 \\ y = 75 - 25 \\ y = 50
Now
we extend CF to line G so that
/_GFE = /_FCD = 25° ( Crosponding angles)

Hence
/_GFE + /_CFE = 180° ( Straight point angle)
25 + x = 180 \\ x = 180 - 25 \\ x = 155
Therefore
Angle x = 155°
Angle y = 50°

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