To find the measure of each angle, we need to set up an equation because vertical angles are congruent.
Given that m2 = (5x + 23) degrees and m4 = (3x + 35) degrees, we can set up the equation:
5x + 23 = 3x + 35
Subtracting 3x from both sides gives:
2x + 23 = 35
Subtracting 23 from both sides gives:
2x = 12
Dividing both sides by 2 gives:
x = 6
Now that we have found the value of x, we can plug it back into either equation to find the measure of each angle:
m2 = 5(6) + 23 = 53 degrees
m4 = 3(6) + 35 = 53 degrees
Therefore, the measure of each angle is 53 degrees. So, the answer is:
B. 53 degrees
For two vertical angles with measures m 2 = (5x + 23) degrees and m 4 = (3x + 35) degrees, what is the measure of each angle?
A. 15.3 degrees
B. 53 degrees
C. 29 degrees
D. 6 degrees
1 answer