Respuesta :

Answer:

m<H = 31 degrees

m< I = 39 degrees

m< J= 110 degrees

Step-by-step explanation:

(x+9) + (2x -5) + (5x) = 180 ....angles inside the interior add up to 180

x+ 9 + 2x -5 + 5x = 180 .... let's simplify

8x + 4 = 180

8x = 180-4

8x= 176

x= 176/8

x= 22

Now let's find the measure of each angle according to what x is:

m<H = (22+9)= 31 degrees

m< I =  (2*22-5)= 39 degrees

m< J=  (5*22)= 110 degrees

Let's make sure that it equals to 180

31 + 39 + 110= 180