31)

\

Observe the circle,

\

Angle $\"\"$ are circle of the arcs are $\"\"$ .

\

Arcs $\"\"$ measures are $\"\"$ \ \

\

Find $\"\"$

\

The pont $\"\"$ is center of the circle. \ \

\

Angle $\"\"$ measures $\"\"$

\

The central angle of $\"\"$ is equal to the measures of an arc $\"\"$ .

\

Angle $\"\"$ measures $\"\"$

\

32)

\

Observe the circle,

\

Angle $\"\"$ are circle of the arcs are $\"\"$ .

\

Arcs $\"\"$ measures are $\"\"$ \ \

\

Find $\"\"$

\

The pont $\"\"$ is center of the circle. \ \

\

Angle $\"\"$ measures $\"\"$

\

The measures of an arc $\"\"$ is equal to the central angle of $\"\"$ .

\

Angle $\"\"$ measures $\"\"$

\

33)

\

Observe the circle,

\

$\"\"$ are tangent to circle $\"\"$

\

Find $\"\"$ if $\"\"$

\

Find $\"\"$

\

$\"\"$ is perpendicular to the radius $\"\"$

\

$\"\"$ is perpendicular to the radius $\"\"$

\

Thus, $\"\"$

\

$\"\"$

\

The value of $\"\"$

\

Find angle A if mDE is equal to 70 degrees and mBC is equal to 12 degrees

\

34)

\

Observe the circle,

\

Arc of angles are $\"\"$

\

Consider the Angle $\"\"$ is $\"\"$

\

The semi circle angle is $\"\"$

\

Thus, $\"\"$

\

Find angle $\"\"$

\

$\"\"$

\

The angle of $\"\"$

\

35)

\

Observe the circle,

\

Arc of angles are $\"\"$

\

Consider the Angle $\"\"$ is $\"\"$

\

The semi circle angle is $\"\"$

\

Thus, $\"\"$

\

Find angle $\"\"$

\

$\"\"$

\

The angle of $\"\"$