A. Write the algebraic equation using the information above.
Angle x = x
Angle y = 43 degrees
Angle z = 67 degrees
In total they equal 180 degrees, so we will set up the equation
x + 43 + 67 = 180
B. Solve the equation. Show all work.
x + 43 + 67 = 180 -- combine like terms
x + 110 = 180 -- subtract 110 from both sides
x = 180 - 110 -- combine like terms
x = 70
Now we can check our answer...
angle x + angle y + angle z = 180
70 + 43 + 67 = 180
180 = 180 (correct)
C. What is the measure of the angle x? Make sure to label your answer.
Angle x = 70 degrees
The angle x is equal to seventy degrees.
Hope this helps!