For two vertical angles with measures number with measures angle 2 5x + 23 and angle 4 3x + 35 what is the measure of each angle

4 answers

Vertical angles are pairs of opposite angles created by the intersection of two lines. These angles have equal measures.

Given that angle 2 is measured by 5x + 23 and angle 4 is measured by 3x + 35, we can set up an equation to find the value of x.

Since vertical angles are equal, we have:

5x + 23 = 3x + 35

Solving this equation will give us the value of x:

2x = 12
x = 6

Now, we can substitute the value of x into either expression to find the measure of each angle:

Angle 2 = 5x + 23 = 5(6) + 23 = 30 + 23 = 53 degrees

Angle 4 = 3x + 35 = 3(6) + 35 = 18 + 35 = 53 degrees

Therefore, the measure of each angle is 53 degrees.

Are you sure?

Are you sure that's right

Is that correct