Answer:
It's difficult to read what you typed for some reason but I think what you are saying is that:
Angle A equals 4x+8
Angle B equals 5x-b
and they are vertical angles.
If so, vertical angels are equal. You can set the expressions equal to each other, solve for x, and plug that value back in to solve for A.
4x+8=5x-b
add 3 to both sides
4x+11=5x
subtract 4x from both sides
11=x
Then plug x=11 into 4x+8.
4(11)+8
44+8
52
Angle A measures 52 degrees.
Vertical angles are angles that are opposite of each other when two lines cross and the measure of vertical angle A is 52 degrees.
Angle A equals 4x+8
Angle B equals 5x-b
They are vertical angles.
The angles are opposite each other when two lines cross.
They are always equal. In this example, a° and b° are vertical angles.
If so, vertical angles are equal.
You can set the expressions equal to each other,
Solve for x, and plug that value back in to solve for A.
4x+8=5x-b
add 3 to both sides
4x+11=5x
subtract 4x from both sides
11=x
Then plug x=11 into 4x+8.
=4(11)+8
=44+8
=52
Therefore, Angle A measures 52 degrees.
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