Angle COB has a measure of 34°.
To find the measure of angle COB, we can use the following property of angles in a circle: angles subtended by the same arc are equal. In this case, angle BOC and angle DOC are subtended by the same arc BD.
Therefore, (10x - 6)° = (4x + 18)°.
Solving this equation, we get 10x - 6 = 4x + 18.
Simplifying further, we find 6x = 24, and x = 4.
Now we can substitute x back into the angle measures:
Angle BOC = (10x - 6)° = (10 * 4 - 6)° = 105°0.
Therefore, the measure of angle COB is 105°.
The probable question may be:
In circle O, BD is a diameter and measure of angles AOD =55 degree, measure of angles BOC =(10x-6) degree, measure of angles DOC =(4x+18) degree. Find measure of angles COB.
A. 105
B. 114
C. 118
D. 124