Vertical angles are formed by two intersecting lines and are always congruent.
Therefore, mL2 = mL4.
Set the two measures equal to each other and solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Substitute x = 6 back into either equation to find the angle measures:
mL2 = 5(6) + 23 = 30 + 23 = 53°
mL4 = 3(6) + 35 = 18 + 35 = 53°
Therefore, each angle measures 53°.
For two vertical angles with measures mL2 = (5x + 23) ° and mL4 = (3x +35)°
, what is the measure of each angle?
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