Question

I NEED HELP

Analyze the diagram below and complete the instructions that follow.

Find the value of x and the value of y.

Answer 1

answer is B)

x= 85, y = 100

Answer 2

D, x=100 and y=85

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

`sum=180(4-2)\\sum=360 degrees`

`360= x +y +80+95\\360-80-95= x+y\\x+y=185`

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

`x>y`

`x+y=185`

the response option that meets these two conditions is D, x=100 and y=85