In the fig., AB//CD. Find the value of x.
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Answer:
110°
Step-by-step explanation:
by extending the line DC and connecting it to line EA at point F, we get the transversal of AB and DC as EA.
NOW , in the first case line DF is cut by EC, forming to parts of a straight line.
FIRST angle formed on DF is = 130°
therefore, 2nd angle= 50° (supplementary angles)
now, there is a triangle formed , ECF , where 2 angles are 20°, 50° .
third angle is = 180-(20+50) [sum angle property of a triangle]
therefore, angle CFE = 110°
NOW, angle CFE and CFA are equal ( as they are corresponding angles, of two straight lines cut by a transversal, at the same side of the transversal.)
Therefore, angle x/CFA = 110°
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