In the figure above, AB is tangent to the circle with center o at point A.
If AOB has a measure of 68 degrees, what is the measure, in degrees, of ABO?

Given:

Given that O is the center of the circle.

AB is tangent to the circle.

The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°

We need to determine the measure of ∠ABO.

Measure of ∠ABO:

The measure of ∠ABO can be determined using the triangle sum property.

Applying the property, we have;

Substituting the values, we get;

Simplifying, we get;

Thus, the measure of ∠ABO is 22°

step-by-step explanation: