Question 365796
if measure angle P=21 degrees and measure angle O=37 degrees then what type of triangle is triangle PQO.
<pre>
We calculate angle Q.

    P + O + Q = 180°
   21°+37°+ Q = 180°
       58°+ Q = 180°
            Q = 180° - 58°
            Q = 122°


{{{drawing(800,400,-1,2,-.5,1,
locate(0,0,P), locate(.9,.45,Q),locate(1.8,0,O),  
triangle(0,0,cos(21*pi/180),sin(21*pi/180),cos(21*pi/180)+cos(37*pi/180)) )}}}     

It fits two categories.  

It is an obtuse triangle because angle Q is obtuse.

It is a scalene triangle because it has no two sides equal in length.

So it is a scalene obtuse triangle.

Edwin</pre>