Question

in each of the following figure a b parallel to CD .find the value of x in each case​

Answer 1

Answer:
In fig 1, x=140°
In fig 2, x=285°
Step-by-step explanation:
Given 2 figures, we have to find out the value of x in each case
In figure 1,
Construct a line OE parallel to AB and CD,then
104°+∠1 = 180°    (∵angle on the same side of transversal)
⇒ ∠1 = 180°-104°=76°
116°+∠2=180°       (∵angle on the same side of transversal)
⇒ ∠2=180°-116°=64°
∠x=∠1+∠2=76°+64°=140°
In figure 2,
∠ABO=∠3=40°    (∵Alternate angles)
∠CDO=∠4=35°    (∵Alternate angles)
Total angle at center O is 360°
⇒ ∠O=∠3+∠4+x
⇒ 360°=40°+35°+x
⇒x=360°-40°-35°=285°





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