Answer:
D, x=100 and y=85
Step-by-step explanation:
Hello
In every convex polygon, the sum of the measure of the interior angles is given by the expression SUM = 180 ° (n - 2) where n is the number of sides
the polygon has our sides MN, NO,OP and PM, the sum of the interior angles is
[tex]sum=180(4-2)\\sum=360 degrees[/tex]
[tex]360= x +y +80+95\\360-80-95= x+y\\x+y=185[/tex]
looking at the graph it is observed that angle x° is obtuse (more than 90° but less than 180°.) and the angle y is acute (The acute angle is the small angle which is less than 90°)
so
[tex]x>y[/tex]
[tex]x+y=185[/tex]
the response option that meets these two conditions is D, x=100 and y=85
