Question

Write and solve an equation to find the value of x and the missing angle measures​

Answer 1

x=-5

x+85 = 80 degrees

x+105= 100 degrees

Explanation:

(x+85)+(x+105)=180 since it is a straight line

2x+190=180

2x=-10

x=-5

so x+85 = 80 degrees

x+105= 100 degrees

Answer 2

x+85 + x+105 = 180

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100

Explanation:

The two angles form a straight line so they add to 180

x+85 + x+105 = 180

Combine like terms

2x + 190 = 180

Subtract 190 from each side

2x+190-190 = 180-190

2x = -10

Divide by 2

2x/2 = -10/2

x = -5

x+85 = -5+85 = 80

x+105 = -5+105 = 100