If m∠4 = (3x)° and m∠8 = (x + 40)°, what is the measure of ∠4? Angles 4 and 8 being vertical.
If the angles are vertical then there sum would be equal.
3x = x + 40
3x - x = 40
2x = 40
x = 20
Now, m<4 = 3x = 3(20) = 60
In short, Your Answer would be 60
Hope this helps!
Answer:
the measure of ∠4 is 60°
Step-by-step explanation:
Two angles are Vertical angles when they are opposite to each other and are congruent.
As per the statement:
If m∠4 = (3x)° and m∠8 = (x + 40)°
Since, angles 4 and 8 being vertical.
then by definition we have;
\(m\angle 4=m\angle 8\)
Substitute the given values we have;
\(3x = x+40\)
Subtract x from both sides we have;
\(2x=40\)
Divide both sides by 2 we have;
x = 20
Substitute the value of x in m∠4 = (3x)°
then;
m∠4 = (3(20))° = 60°
Therefore, the measure of ∠4 is 60°