Answer:
[tex]x=81\degree[/tex]
[tex]y=99\degree[/tex]
[tex] z=129\degree[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees.
[tex]\implies 51\degree+48\degree+x=180\degree[/tex]
[tex]\implies 99\degree+x=180\degree[/tex]
[tex]\implies x=180\degree-99\degree[/tex]
[tex]\implies x=81\degree[/tex]
Use the exterior angles theorem to find y.
The exterior angle y is the sum of the two remote interior angles:
[tex]y=51\degree+48\degree=99\degree[/tex]
The sum of angles on a straight line is 180 degrees.
[tex]\implies z+51\degree=180\degree[/tex]
[tex]\implies z=180\degree-51\degree[/tex]
[tex]\implies z=129\degree[/tex]
