Question

If shown,

Answer 1

Answer:

x=60

Step-by-step explanation:

here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.

x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90

and 30+2x+y = 180 ,

2x+y=150, (180-30)

then two equations can be made.

x+y=90

2x+y=150

simplifying these two simultaneous equations

can get x as 60. and 2x is 120.