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Fiesta28 [93]
3 years ago
13

Given the following diagram, enter the required information.

Mathematics
2 answers:
devlian [24]3 years ago
8 0
CXB = 40 degrees

I am not positive but from what I have looked up this is the answer.
vitfil [10]3 years ago
3 0

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

<u>the answer is</u>

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

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