Answer:
x= 10 and y= 13
Step-by-step explanation:
finding value of x:
angle EYF is 45° and angle FEY is 70° just like angle EYD they're the same
so 45° + 70° = 115°
then 180° is the whole measure of a triangle
so 180° - 115° = 65°
angle EFY is (7x-5)°,
7x-5=65, transpose 5
7x=65+5
7x=70, divide both side by 7
x= 10
finding value of y:
angle EYD is 70° and angle YED is 45° just like angle EYF
so 70° + 45° = 115°
then 180° - 115° = 65°
angle EDY is (5y)°,
5y=65, divide both side by 5
y= 13
checking:
=(7x-5)°
={7(10)-5}°
=(70-5)°
=65°
=(5y)°
={5(13)}°
=65°
