If angle 1 and angle 2 are vertical angles and measurement angle 1= 3x+17 and measurement angle 2= 4x-34 what is measurement angle 1?
If by vertical angles you mean opposite angles when 2 lines intersect, then they must be equal, so ...
4x- 34 = 3x + 17
x = 51
and angle1 = 3(51) + 17 = 170
To find the measurement of angle 1, we need to equate it to the given expression 3x+17. We are given the relationship that angle 1 and angle 2 are vertical angles, which means they are opposite each other when two lines intersect.
Since angle 1 and angle 2 are vertical angles, they have equal measures. Therefore, we can set up an equation by equating the two expressions:
3x + 17 = 4x - 34
To solve for x, we subtract 3x from both sides of the equation:
17 = x - 34
Next, we add 34 to both sides of the equation to isolate x:
17 + 34 = x
51 = x
Now that we have the value of x, we can substitute it back into the expression for angle 1:
Angle 1 = 3x + 17 = 3(51) + 17 = 153 + 17 = 170
Therefore, the measurement of angle 1 is 170 degrees.