Answer:
Step-by-step explanation:let's find the value of x first
The sum of all the angles of a quadrilateral is 360°
(15x-10)°+(15x+14)°+(9x-4)°+(11x+10)° = 360°
Open up the brackets and rearrange the expression
15x-10°+15x+14°+9x-4°+11x+10°=360°
15x+15x+9x+11x-10°+14°-4°+10° = 360°
50x+10°=360°
Collect like terms
50x=360°-10°
50x=350°
Divide by the coefficient of x
x= 350/50
X=7°
Substitute the value of x into the various angles
15x-10°=(15×7)-10= 105-10=95°
15x+14°=(15×7)+14=105+14=119°
9x-4°=(9×7)-4=63-4=59°
11x+10°=(11×7)+10=77+10=87°
The greatest angle measure is angle F which is 119°
