Question

In fig. 10.63, AB||CD Determine x​

Answer 1

Answer:

x = 285°

Explanation :

Angle 1 = 45° [ Alternate Interior angles]

Angle 2 = 30° [ Alternate Interior angles]

Angle 1 + Angle 2 = 45 + 30 = 75°

x = 360° - 75°

x = 285°

Answer 2

Answer:

Step-by-step explanation:

angle ABO= angle BOS (let S be any point on line l after O)

because they are interior alternate angles.

so therefore angle 1=45 degree

now similarly angle DCO = angle COS

because they are also interior alternate angles,

so angle 2=30 degree

now sum of all the angles about point O is 360 degree

therefore;

angle 1 + angle 2 + angle x = 360 degree

45+30+x=360

75+x=360

x=360-75

x=285 degree

thanks hope it helps you.. :)