Answer:
Angle AOB is made up of angle AOC and COB.
AOC + COB = AOB
Since AOB is a right angle, it is 90°.
Using the values given, AOC = [tex]2x[/tex] and COB = [tex]2x+10[/tex].
Therefore,
[tex]2x+2x+10=90[/tex]
Subtract 10 from both sides:
[tex]2x+2x+10-10=90-10[/tex]
[tex]2x+2x=80[/tex]
[tex]4x=80[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4} =\frac{80}{4}[/tex]
[tex]x=20[/tex]
