Question

Given circle P, find mDBC

Answer 1

240 i think

Explanation:

Answer 2

`m\widehat {DBC}=240^(\circ)`

Explanation:

We have been given image of a circle. We are asked to find measure of arc DBC.

`m\widehat {DBC}=\widehat {DB}+\widehat {BA}+\widehat {AC}`

We know that central angle is equal to measure of corresponding arc, so measure of arc DB will be equal to measure of angle DPB.

Since angle APC and angle DPB are vertical angles, so measure of angle DPB will be equal to measure of angle APC that is 60 degrees.

`m\widehat {DBC}=60^(\circ)+120^(\circ)+60^(\circ)`

`m\widehat {DBC}=120^(\circ)+120^(\circ)`

`m\widehat {DBC}=240^(\circ)`

Therefore, the measure of arc DBC is 240 degrees.