Question
For two vertical angles with measures m∠2=135° and m∠4=(4x+15)°, what is the value of x?
Answers
GPT 3.5
Vertical angles are formed by two intersecting lines and are congruent to each other. Thus, we have:
m∠2 = m∠4
135° = 4x + 15
Subtracting 15 from both sides:
120° = 4x
Dividing both sides by 4:
30° = x
Therefore, the value of x is 30.
m∠2 = m∠4
135° = 4x + 15
Subtracting 15 from both sides:
120° = 4x
Dividing both sides by 4:
30° = x
Therefore, the value of x is 30.