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28 votes
Find X. Answer in degrees and minutes Round to the nearest MINUTE. y= 49 degrees 6' z = 23 degree 19'

Find X. Answer in degrees and minutes Round to the nearest MINUTE. y= 49 degrees 6' z-example-1
User Aatwork
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1 Answer

18 votes
18 votes

The sum of angles in a triangle is givento be 180 degrees.

This means that:


x+y+z=180\degree

We're given the values of y and z in the question. We can substitute these into the equation above:


x+49\degree6^(\prime)+23\degree19^(\prime)=180\degree

We can solve it as shown below:


\begin{gathered} x+72\degree25^(\prime)=180\degree \\ \therefore \\ x=180\degree-72\degree25^(\prime) \\ x=107\degree35^(\prime) \end{gathered}

ANSWER


x=107\operatorname{\degree}35^(\prime)

User Piotrbalut
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