Answer:
m<V= 58 degree
Step-by-step explanation:
The sum of interior angles of a triangle is 180 degree
In the triangle YWX
[tex]<WYX +<W +<X=180[/tex]
[tex]<WYX +52+24=180[/tex]
[tex]<WYX =180-52-24=104[/tex]
The <WYX and <VYU are vertical opposite angles . they are equal
[tex]<WYX = <VYU[/tex]
<VYU= 104
[tex]<VYU +<V +<U=180[/tex]
[tex]104 +<V +18=180[/tex]
[tex]<V=180-104-18=58[/tex]
m<V= 58 degree
