Question

in fig, AB||CD, the value of x is:
a) 185 b)280 c) 285 d) 195
(please give step by step explanation with reference to the attached figure)​

Answer 1

Answer:

c)The value of x is 285°

Step-by-step explanation:

According to the picture given above,we have

AB||CD.

Let the point of intersection at angle x is point O.

Let the line in between AB and CD be EF.

From the figure,we observe that the angles

APO and POF lie on either side of the transversal.Hence they are equal.Therefore,

$APO = POF = 45 {}^{0}$

Similarly the angles CQO and FOQ lie on same side of transversal.Therefore they are equal

$= > CQO = FOQ = 30 {}^{0}$

From the figure,we have an angle sum property which is

$x+POF+FOQ=360 {}^{0}$

Substituting the value of given angles,we get

$x + 45 + 30 = 360 \\ = > x + 75 = 360 \\ = > x = 360 - 75 = 285 {}^{0}$

Therefore,The value of x is 285°

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Answer 2

Answer:

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