Answer:
Step-by-step explanation:
Those consecutive angles must sum to 180 degrees.
7x+9+7y-4=180
7x+7y+5=180
7x+7y=175
x+y=25
x=25-y
We also have
11x-1+2y+5=180
11x+2y+4=180
11x+2y=176, using x=25-y that we found above makes this
11(25-y)+2y=176
275-11y+2y=176
-9y+275=176
-9y=-99
y=11, and since x=25-y
x=25-11
x=14
Finally
z+7x+9=180
z+7x=171
z=171-7x, we found that x=14 earlier so
z=171-7(14)
z=171-98
z=73
So the three values are
x=14, y=11, and z=73 degrees.
