Vertical angles are formed when two lines intersect. They are always congruent, meaning they have the same measure.
Therefore, mL2 = mL4.
We can set up an equation to find the value of x:
5x + 23 = 3x + 35
Now, we can solve for x:
2x = 12
x = 6
Now that we know the value of x, we can substitute it back into either equation to find the measure of each angle:
mL2 = 5x + 23 = 5(6) + 23 = 30 + 23 = 53°
mL4 = 3x + 35 = 3(6) + 35 = 18 + 35 = 53°
Therefore, each angle has a measure of 53°.
For two vertical angles with measures mL2 = (5x + 23) ° and mL4 = (3x +35)°
, what is the measure of each angle? (1 point)
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