Find X. Answer in degrees and minutes Round to the nearest MINUTE. y= 49 degrees 6' z = 23 degree 19'
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The sum of angles in a triangle is givento be 180 degrees.
This means that:
[tex]x+y+z=180\degree[/tex]We're given the values of y and z in the question. We can substitute these into the equation above:
[tex]x+49\degree6^{\prime}+23\degree19^{\prime}=180\degree[/tex]We can solve it as shown below:
[tex]\begin{gathered} x+72\degree25^{\prime}=180\degree \\ \therefore \\ x=180\degree-72\degree25^{\prime} \\ x=107\degree35^{\prime} \end{gathered}[/tex]ANSWER
[tex]x=107\operatorname{\degree}35^{\prime}[/tex]