Question

PLS HELP ME NOW!! 55 POINTS!

Answer 1

Answer: 1) x=56

2) value of the exterior angle: 116

Explanation:

1. to solve for x, set up the equation that equals to the exterior angle

60 + x = 2x + 4

-x + 60 = 4

-x = -56

x = 56

2. now insert x (56) to the exterior angle expression

2 (56) + 4

112 + 4

116 degrees

Answer 2

x=56

The exterior angle is 116

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