From the diagram the angles are .
In a triangle sum of angles are .
(Add:
)
(Subtract 42 from each side)
(Apply addiitve inverse propetry:
)
(Apply addiitve identity propetry:
)
(Subtract:
)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
So,.
,
,
So, the angle measures are .
The value of x is . The angle measures are
.
is an obtuse angle. So, the triangle is an obtuse triangle.