Question

Given the following diagram, enter the required information.

m DXB = 70 degrees 15' 12" DXC = 30 degrees 30 ' 20"
CXB= ?

Answer 1

we have

m∠DXB=
`70\°\ 15'\ 12''`

m∠DXC=
`30\°\ 30'\ 20''`

we know that

m∠DXB=m∠DXC+m∠CXB

so

m∠CXB=m∠DXB-m∠DXC

remember that

`1\°=60'`

`1'=60''`

so

m∠DXB=
`70\°\ 15'\ 12''`

convert one grade to minutes

m∠DXB=
`69\°\ 75'\ 12''`

convert one minute to seconds

m∠DXB=
`69\°\ 74'\ 72''`

Find the value of m∠CXB

m∠CXB=
`(69\°\ 74'\ 72'')-(30\°\ 30'\ 20'')=39\°\ 44'\ 52''`

therefore

the answer is

the measure of angle CXB is equal to
`39\°\ 44'\ 52''`