Question

Given the following diagram, enter the required information.

Answer 1

CXB = 40 degrees

I am not positive but from what I have looked up this is the answer.

Answer 2

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 $39\°\ 44'\ 52''$