Question

What is the value of x What is the value of the exterior angle

Answer 1

Answer:

???????

Step-by-step explanation:

triangles add to 180 degrees

lets call the unknown angle y

82 + x + y = 180

we also know that y + (2x-20 ) = 180  because it is a straight line

lets solve this for y

y + (2x-20 ) = 180

subtract (2x-20) from each side

y = 180 - (2x-20)

y = 180 - 2x + 20

y = 200 -2x

substitute this in the triangle equation

82 + x + y = 180

82 + x + 200 -2x = 180

combine like terms

282 -x = 180

subtract 282 from each side

-x = -102

multiply by -1 on each side

x = 102

the exterior angle is 2x-20

exterior angle is 2(102) -20

exterior angle is 204-20

exterior angle is 184

This is impossible.

There is a mistake with this problem

The triangle is not a triangle.  Angle y would be negative. y=-4