Answer:
D. Obtuse.
Step-by-step explanation:
We are told that in [tex]\Delta MNP[/tex] [tex]m\angle M=35^o[/tex] and [tex]m\angle P=47^o[/tex]. We are asked to classify our given [tex]\Delta MNP[/tex].
We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.
Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.
So we can set an equation as:
[tex]m\angle M+m\angle P+m\angle N=180^o[/tex]
Upon substituting our given values we will get,
[tex]35^o+47^o+m\angle N=180^o[/tex]
[tex]82^o+m\angle N=180^o[/tex]
[tex]82^o-82^o+m\angle N=180^o-82^o[/tex]
[tex]m\angle N=98^o[/tex]
As measure of angle N is 98 degrees, so angle N is an obtuse angle.
Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, [tex]\Delta MNP[/tex] is an obtuse triangle and option D is the correct choice.
