Answer:
The measure of angle x is [tex]64.4\°[/tex]
Step-by-step explanation:
To find the measure of angle X, apply the law of cosines
The law of cosines states that
[tex]c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)[/tex]
In this problem we have
[tex]a=19\ cm[/tex]
[tex]b=25\ cm[/tex]
[tex]c=24\ cm[/tex]
[tex]C=x\°[/tex]
substitute
[tex]24^{2}=19^{2}+25^{2}-2(19)(25)cos(C)[/tex]
[tex]576=986-950cos(C)[/tex]
[tex]cos(C)=(986-576)/950[/tex]
[tex]C=arccos[(986-576)/950]=64.4\°[/tex]
Therefore
The measure of angle x is [tex]64.4\°[/tex]
