Since angles 2 and 4 are vertical angles, they are congruent, which means they have the same measure. Therefore, we can set the equations equal to each other and solve for X:
5X + 23 = 3X + 35
Subtract 3X from both sides:
2X + 23 = 35
Subtract 23 from both sides:
2X = 12
Divide by 2:
X = 6
Now that we have the value of X, we can substitute it back into one of the original equations to find the measure of the angles:
M angle two = 5X + 23
M angle two = 5(6) + 23
M angle two = 30 + 23
M angle two = 53
M angle four = 3X + 35
M angle four = 3(6) + 35
M angle four = 18 + 35
M angle four = 53
Therefore, the measure of each angle is 53 degrees.
For two vertical angles with measures M angle two equals 5X +23 and M angle four equals 3X +35 what is the measure of each angle
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