To find the measure of each angle, we can set the two vertical angles equal to each other:
m∠2 = m∠4
(5x + 23)° = (3x + 35)°
Now we can solve for x:
5x + 23 = 3x + 35
2x = 12
x = 6
Now we can substitute the value of x back into one of the angle measures to find its value. Let's use m∠2:
m∠2 = (5x + 23)°
m∠2 = (5*6 + 23)°
m∠2 = (30 + 23)°
m∠2 = 53°
Therefore, the measure of each angle is 53°. Answer: 53°.
For two vertical angles with measures m∠2=(5x+23)° and m∠4=(3x+35)° , what is the measure of each angle?(1 point)
6°
29°
15.3°
53°
1 answer
6 answers