Answer:
x=56
The exterior angle is 116
Step-by-step explanation:
The three angles of a triangle add to 180 degrees.
Lets call the unknown angle in the triangle y
y ,2x+4 make a straight line so they are supplementary. That means they add together to make 180 degrees
y + 2x+4=180
Lets solve for y by subtracting 2x+4 from each side
y + 2x+4 - (2x+4) = 180 - (2x+4)
y = 180 -2x-4
y = 176 -2x
The three angles x , 60 and y add together to make 180 degrees.
x + 60 + y = 180
Substituting in for y
x + 60 + 176 -2x = 180
Combine like terms
-x + 236 = 180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Divide by -1
x = 56
The exterior angle is 2x+4
2(56) +4
112+4
116
