For two vertical angles with measures m 22 = (5x + 23) ° and m 24 = (3x + 35) °, what is the

Question

measure of each angle? (1 point)
Item 1
Item 2
COURSE TOOLS
O 15.3°
O 29°
0 6°
0 53

Answer 1

To find the measure of each angle, we need to set the expressions for their measures equal to each other.

5x + 23 = 3x + 35

Now we can solve for x.

2x = 12
x = 6

Now that we have found the value of x, we can substitute it back into either expression to find the measure of each angle.

For m22:

m22 = 5(6) + 23
m22 = 30 + 23
m22 = 53°

For m24:

m24 = 3(6) + 35
m24 = 18 + 35
m24 = 53°

So, the measure of each angle is 53°.