Answer:
Obtuse triangle
Step-by-step explanation:
Obtuse angle:When the angle is greater than 90 degrees and less than 180 degrees then, the angle is called obtuse angle.
Acute angle: When the angle is less than 90 degrees then the angle is called acute angle.
Right angle: When the angle is equal to 90 degrees then, the angle is called right angle
Obtuse triangle: When one angle of triangle is obtuse then, the triangle is called obtuse triangle.
Acute triangle: When all angles of triangle are acute then, the triangle is called acute triangle.
Right triangle: When one angle of triangle is right angle then, the angle is called right triangle.
We are given measurements of angles of a triangle are
[tex]30^{\circ},24^{\circ},126^{\circ}[/tex]
126 degrees is greater than 90 and less than 180 degrees , therefore it is an obtuse angle.
Therefore, given triangle is an obtuse triangle because one angle of given triangle is obtuse .
Hence, given triangle is an obtuse triangle.
