Answer:
30°
Explanation:
The two angles: 4x + 20° and 40° are supplementary.
This means that when added, they will equal 180°. I know that these angles are supplementary because they form a straight line.
Let's write this as an equation:
4x + 20° + 40° = 180°
Solve:
4x + 20 + 40 = 180
Combine like terms (add 20 and 40):
4x + 20 + 40 = 180
4x + 60 = 180
Subtract 60 on both sides:
4x + 60 = 180
-60 -60
4x = 120
Divide by 4 on both sides:
4x = 120
/4 /4
x = 30
Therefore, the value of x is 30 degrees.