Question

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Answer 1

Answer:

in the second figure the value of x is 90 degree as it is seen

Answer 2

Step-by-step explanation:

1.i. In this diagram, draw a line parallel to AB and CD which will bisect Angle x and Name it EF.

Since AB || OE with BO as the transversal,

So, Angle BOE = Angle ABO = 55°

( Alternate interior angles )

Since, EO || DC with OD as the transversal,

Now similarly, Angle EOD = Angle CDO = 38°

( Alternate interior angles)

So, x = Angle BOE + Angle EOD

=> x = 55° + 38°

=> x = 93°

Therefore x= 93°

ii. In this diagram, draw a line bisecting Angle F which is parallel to CD and name it as FG.

Now, Angle GFC = 144°/2 = 72°

Since FG|| CD with FC as the transversal,

Therefore Angle GFC = Angle DCE = 72° (x)

( Corresponding angles )

Therefore x = 72°