Question

what is the measure of eab in circle f? 72° 92° 148° 200°

Explanation:

Step1: Recall the sum of arc measures in a circle

The sum of the measures of the arcs of a circle is 360°.

Step2: Calculate the measure of arc $EAB$

We know that the measures of arcs $BC = 88^{\circ}$, $CD$, and $DE = 70^{\circ}$. Let the measure of arc $EAB=x$. Then $x+88^{\circ}+70^{\circ}=360^{\circ}$.
We can also use the fact that the sum of the interior - angles of the inscribed quadrilateral $BCDE$ is 360°. But a more straightforward way is to use the arc - sum property of a circle.
We know that the measure of arc $BC = 88^{\circ}$, the measure of arc $DE=70^{\circ}$, and assume the measure of arc $EAB$ is $x$ and the remaining arc (not part of $EAB$) is composed of arcs $BC$ and $DE$.
The sum of the measures of all arcs in a circle is 360°. So $x=360^{\circ}-(88^{\circ} + 70^{\circ})=360^{\circ}-158^{\circ}=200^{\circ}$.

Answer:

200°