Home Mathematics ∠a and ∠b are vertical angles with m∠a = x and m∠b = 4x – 30. what is m∠a? ∠a and ∠b are vertical angles with m∠a = x and m∠b = 4x – 30. what is m∠a?Mathematics Tink921October 23, 202112 Comments∠a and ∠b are vertical angles with m∠a = x and m∠b = 4x - 30. what is m∠a?
[tex]x = 4x -30[/tex]We can solve for x subtracting x on both sides:[tex]x-x= 4x-x-30[/tex]And then we can add 30 in both sides:[tex]30= 3x[/tex]And dividing both sides by 3 we got:[tex]x = 10[/tex]Step-by-step explanation:For this case we know the measure of two angles:[tex]m <A = x[/tex][tex]m<B = 4x-30[/tex]And we know that both angles are vertical and by definition vertical angles are the angles opposite each other when two lines cross.For this case since both angles are vertical we have the property that:[tex]m<A = m<B[/tex]And replacing what we got we have:[tex]x = 4x -30[/tex]We can solve for x subtracting x on both sides:[tex]x-x= 4x-x-30[/tex]And then we can add 30 in both sides:[tex]30= 3x[/tex]And dividing both sides by 3 we got:[tex]x = 10[/tex]Reply
we know thatVertical Angles are the angles opposite each other when two lines cross. They are always congruent to one anotherin this problem∠A and ∠B are vertical anglesso∠A=∠B we have∠A=[tex]x\°[/tex] ∠B=[tex](5x-80)\°[/tex]equate angle A and angle B[tex]x=5x-80[/tex]solve for x[tex]5x-x=80[/tex][tex]4x=80[/tex][tex]x=20\°[/tex]thereforethe answer isthe measure of angle A is [tex]20\°[/tex]Reply
we know thatVertical angles are congruent angles opposite each other where two lines crosssoin this problemm∠A=m∠Bsosubstitute the values[tex]x=3x-60\\3x-x=60\\2x=60\\x=60/2\\x=30\°[/tex]thereforethe answer isThe measure of angle A is [tex]30\°[/tex]Reply
m∠A=30°Step-by-step explanation:we know thatVertical Angles are the angles opposite each other when two lines cross.Vertical angles always are congruentIn this problemm∠A=m∠B ----> by vertical angleswe havem∠A=xm∠B=3x-60substitute[tex]3x-60=x[/tex]Solve for x[tex]3x-x=60[/tex][tex]2x=60[/tex][tex]x=30[/tex]thereforem∠A=30°Reply
m∠A=10°Step-by-step explanation:we know thatVertical angles are the angles opposite each other when two lines cross. The angles are congruent.soIn this problem we havem∠A=m∠Bsubstitute the given values[tex]x=4x-30[/tex]Solve for x[tex]4x-x=30\\3x=30\\x=10[/tex]Find the measure of angle Am∠A=xsubstitute the value of xm∠A=10°Reply
Angle A would be anything that Angle B is. If the angles are vertical then they are always congruent. Reply
∠A and ∠B are vertical anglesso∠A =∠B x = 4x - 304x - x = 303x = 30 x = 10m<A= x = 10answerm<A = 10Reply
answer: howdy
step-by-step explanation:
answer:
g
step-by-step explanation:
[tex]x = 4x -30[/tex]
We can solve for x subtracting x on both sides:
[tex]x-x= 4x-x-30[/tex]
And then we can add 30 in both sides:
[tex]30= 3x[/tex]
And dividing both sides by 3 we got:
[tex]x = 10[/tex]
Step-by-step explanation:
For this case we know the measure of two angles:
[tex]m <A = x[/tex]
[tex]m<B = 4x-30[/tex]
And we know that both angles are vertical and by definition vertical angles are the angles opposite each other when two lines cross.
For this case since both angles are vertical we have the property that:
[tex]m<A = m<B[/tex]
And replacing what we got we have:
[tex]x = 4x -30[/tex]
We can solve for x subtracting x on both sides:
[tex]x-x= 4x-x-30[/tex]
And then we can add 30 in both sides:
[tex]30= 3x[/tex]
And dividing both sides by 3 we got:
[tex]x = 10[/tex]
4x-30=180
180-30
4x=150
150/4
37.5
x=37.5
we know that
Vertical Angles are the angles opposite each other when two lines cross. They are always congruent to one another
in this problem
∠A and ∠B are vertical angles
so
∠A=∠B
we have
∠A=[tex]x\°[/tex]
∠B=[tex](5x-80)\°[/tex]
equate angle A and angle B
[tex]x=5x-80[/tex]
solve for x
[tex]5x-x=80[/tex]
[tex]4x=80[/tex]
[tex]x=20\°[/tex]
therefore
the answer is
the measure of angle A is [tex]20\°[/tex]
we know that
Vertical angles are congruent angles opposite each other where two lines cross
so
in this problem
m∠A=m∠B
so
substitute the values
[tex]x=3x-60\\3x-x=60\\2x=60\\x=60/2\\x=30\°[/tex]
therefore
the answer is
The measure of angle A is [tex]30\°[/tex]
m∠A=30°
Step-by-step explanation:
we know that
Vertical Angles are the angles opposite each other when two lines cross.
Vertical angles always are congruent
In this problem
m∠A=m∠B ----> by vertical angles
we have
m∠A=x
m∠B=3x-60
substitute
[tex]3x-60=x[/tex]
Solve for x
[tex]3x-x=60[/tex]
[tex]2x=60[/tex]
[tex]x=30[/tex]
therefore
m∠A=30°
m∠A=10°
Step-by-step explanation:
we know that
Vertical angles are the angles opposite each other when two lines cross. The angles are congruent.
so
In this problem we have
m∠A=m∠B
substitute the given values
[tex]x=4x-30[/tex]
Solve for x
[tex]4x-x=30\\3x=30\\x=10[/tex]
Find the measure of angle A
m∠A=x
substitute the value of x
m∠A=10°
Angle A would be anything that Angle B is. If the angles are vertical then they are always congruent.
20 degrees
vertical angles are equal, so 5x-80=x
solve for x and you get 20
l.jnl.j/n.m,lm,
step-by-step explanation:
∠A and ∠B are vertical angles
so
∠A =∠B
x = 4x - 30
4x - x = 30
3x = 30
x = 10
m<A= x = 10
answer
m<A = 10