Q. 64.4( 25 Votes )

# In the given figure, AB||CD. Find the value of x.

X=110

Given AB||CD, DCE = 130° and AEC = 20°

Draw a line EF||AB||CD

CD||EF

Therefore, DCE + CEF = 180°

130° + 1 = 180°

1 = 180° - 130°

1 = 50°

AB||EF

Therefore, BAE + AEF = 180°

x + 1 + 20° = 180°

x + 50° + 20° = 180°

x = 180° - 70°

x = 110°

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