Question

Circle D is below. ⌢

What is the arc measure of BC in degrees

Answer 1

`BC = 84`

Explanation:

Given

See attachment

Required

Find BC

The sum of
`angles\ at\ a\ point` is 360.

So:

`7n + 12 + 13n - 16 + 6n = 360`

Collect like terms

`7n + 13n + 6n = 360 + 16 - 12`

`26n = 364`

Solve for n

`n = 364/26`

`n = 14`

From the circle:

`BC = 6n`

Substitute 14 for n

`BC = 6*14`

`BC = 84`