Answer:
m∠ABD = 20°
Step-by-step explanation:
The bisector makes angles ABD and BDC congruent, so ...
7x -1 = 4x +8
3x = 9 . . . . . . add 1-4x to both sides
x = 3
m∠ABD = (7x-1)° = (7·3 -1)°
m∠ABD = 20°
In the second equation you are given what Y equals, which is (-5x - 3). You would use this equation and plug it into the y value given in the first equation where it says 2y and solve
That would be
3x - 2(-5x - 3) = -6
3x + 10x + 6 = -6
3x + 10x = -6 - 6
13x = -12
X = -12/13
Then if you want to solve for Y you can use any equation and plug in the x-value found.
I’m going to use equation 2.
Y = -5x - 3
Y = -5(-12/13) - 3
Y = 4.615 - 3
Y = 1.615
(-12/13, 1.615)
Therefore the x-value is -12/13 and the y-value is 1.615.