For two vertical angles with measures number with measures angle 2 5x + 23 and angle 4 3x + 35 what is the measure of each angle
Vertical angles are pairs of opposite angles created by the intersection of two lines. These angles have equal measures.
Given that angle 2 is measured by 5x + 23 and angle 4 is measured by 3x + 35, we can set up an equation to find the value of x.
Since vertical angles are equal, we have:
5x + 23 = 3x + 35
Solving this equation will give us the value of x:
2x = 12
x = 6
Now, we can substitute the value of x into either expression to find the measure of each angle:
Angle 2 = 5x + 23 = 5(6) + 23 = 30 + 23 = 53 degrees
Angle 4 = 3x + 35 = 3(6) + 35 = 18 + 35 = 53 degrees
Therefore, the measure of each angle is 53 degrees.