In the given figure, AB and CD are parallel to each other .Find the value of x
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X = 100°
Step-by-step explanation:
Draw a line parallel to AB and CD and passing through E as shown in the figure which divides x in ∠1 and ∠2
Now AB∣∣EF and ang BE is transversal
∴∠1+120∘=180∘ (Sum of angles made on side side of transversal is supplementary)
⇒∠1=180∘−120∘⇒∠1=60∘
Also DC∣∣EF and DE is transversal
∴∠2+140∘=180∘ (Sum of angles made on side side of transversal is supplementary)
⇒∠2=180∘−140∘⇒∠1=40∘
x=∠1+∠2⇒x=60∘+40∘=100∘
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