Question

Find the measure of arc DBC in circle P.

Answer 1

122 degrees in the correct answer of the arc of DBC in circle P

Answer 2

122°

Explanation:

The measure of arc DBC in circle P is calculated thus:

DBC = 180° - 58° (sum of angles on a straight line)

DBC = 122°

Therefore, the measure of arc DBC in circle P is 122°.

Note,

Line BD is a straight line; thus, sum of angles on a straight line is 180°.

Angle BPC is 58°. To determine angle DPC, we subtract 58° from 180°, such that, 180° - 58° = 122°.