<PRE><B>Question 1016602</B>
The given information in the problem tells us that Angle 1 = Angle 4
:
4x -20 = 2x +14
:
2x = 34
:
x = 17
:
***********************************
Angle 4 = 4(17) - 20 = 48 degrees
***********************************
:
The algebra behind this is
:
Angle 4 = 4x -20
Angle 1 = 2x +14
:
Angle 1 + Angle 3 = 180
Angle 4 + Angle 3 = 180
:
subtract the two equations
Angle 1 - Angle 4 = =
2x + 14 -4x +20 = 0
-2x = -34
x = 17
:
</PRE>