solve for x. measure of angleAOB=28 measure of angle BOC=3x-2 measure of angle AOD=6x

Question

you have to solve for x.

Answer 1

If A, B, C, D are points on the circumference of a circle centre O, then the angles at the centre must sum to 360, therefore:

28+3x-2+6x+y=360, where y is the measure of angle COD.

9x+y=334. We need another equation to find both x and y; or we need a different interpretation of the question. We would need to know the measure of angle COD.

If we assume that x is a whole angle measure (no fraction) then y=1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100, 109, etc., making x=37, 36, 35, 34, etc.

For example, if COD and AOB have the same measure (28°), then x=34°.

This makes BÔC=100°, AÔD=204°.