Question

For two vertical angles with measures M angle two equals 5X +23° and M angle four equals 3X +35° what is the measure for each angle?
53°
15.3°.
6°
29°

Answer 1

To find the measure of each angle, set the two angle measures equal to each other:

5X + 23 = 3X + 35

Subtract 3X from both sides:

2X + 23 = 35

Subtract 23 from both sides:

2X = 12

Divide by 2 to solve for X:

X = 6

Now, plug X back into either equation to find the measure of each angle:

5(6) + 23 = 53

3(6) + 35 = 53

So, the measure of angle two is 53° and the measure of angle four is 53°.