Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
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 of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116
The smallest will be 90 degree
Let h be hot dogs and s be sodas
h+s=221
h=s-59
s=s
s+s-59=221
2s-59=-221
2s=280
s=140
h=140-59=81
140+81=221
Answer: there were 81 hotdogs and 140 sodas sold
1) last number times 4 and subtract 1
2) last number times2 and add 2
3) you figure out
