Answer:
The correct option is 3. The measure of arc AD is 100°
Explanation:
Given information: BD is a diameter, ∠1 = 100° and arc BC=30°.
The central angle of an arc is the measure of arc.
From the given figure it is clear that the central angle of arc AD is equal to the angle 1.
![Arc(AD)=\angle 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/13voo93249eqlnb958tktq8gd9dsm3au86.png)
It is given that ∠1 = 100°
![Arc(AD)=100^(\circ)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mfrq57lxj09n6ojyfnlnpjzmm1esfpwv8v.png)
The measure of arc AD is 100°, therefore the correct option is 3.