Question

C is the circumcenter of APQR.
PC=3x+7, RC=5x-15, & QC=51-X
x=[?]

Answer 1

x = 11

Explanation:

C is the circumcenter of
`\triangle PQR`

`\implies PC=QC=RC` (Radii of same circle)

`\implies RC=QC`

`\implies 5x-15=51-x`

`\implies 5x +x=51+15`

`\implies 6x =66`

`\implies \: x = (66)/(6) \\ \\ \implies \: \huge \: \red{x = 11}`