The measure of arc ab is
the measure of angle aob is
the measure of angle bda is

The arc of a circle is defined as the part or segment of the circumference of a circle.

The measure of arc AB is 50 degrees.

An angle of a circle is an angle that is formed between the radii, chords, or tangents of a circle.

The measure of angle AOB is 50 degrees.

The measure of angle BDA is 25 degrees.

The measure of arc AB is

The measure of angle AOB is

The measure of angle BDA is

The arc of a circle is defined as the part or segment of the circumference of a circle.

An angle of a circle is an angle that is formed between the radii, chords, or tangents of a circle.

1. The measure of arc AB is,

The measure of arc AB is 50 degrees.

2. The measure of angle AOB is,

The measure of angle AOB is 50 degrees.

3. The measure of angle BDA is,

The measure of angle BDA is 25 degrees.

To know more about Arc and Angle click the link given below.

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Part 1) The measure of arc AB is 50°

Part 2) The measure of angle AOB is 50°

Part 3) The measure of angle BDA is 25°

Step-by-step explanation:

step 1

Find the measure of arc AB

we know that

arc AD+arc BD+arc AB=360° > by complete circle

substitute the given values

212°+98°+arc AB=360°

310°+arc AB=360°

arc AB=360°-310°=50°

step 2

Find the measure of angle AOB

we know that

The measure of angle AOB is the same that the measure of arc AB by central angle

so

m∠AOB=arc AB=50°

step 3

Find the measure of angle BDA

we know that

The inscribed angle measures half that of the arc comprising

so

m∠BDA=(1/2)[arc AB]

we have

arc AB=50°

substitute

m∠BDA=(1/2)[50°]=25°