bd bisects abc. if abd = 2x+50 and cbd = 5x+5, find the value of x
since BD bisects the angle, the two halves are congruent. So,
2x+50 = 5x+5
x = 15
To find the value of x, we can set the two angles, ABD and CBD, equal to each other since BD bisects angle ABC.
ABD = CBD
Given that ABD is 2x + 50 and CBD is 5x + 5, we can set up an equation:
2x + 50 = 5x + 5
Now, we can solve the equation for x.
2x - 5x = 5 - 50
-3x = -45
To isolate x, divide both sides of the equation by -3:
x = (-45)/(-3)
x = 15
So, the value of x is 15.
To find the value of x, we can set up an equation using the fact that the bisector of angle ABC divides it into two equal parts.
Since line BD bisects angle ABC, we know that angle ABD is equal to angle CBD. Therefore, abd = cbd.
Given that abd = 2x + 50 and cbd = 5x + 5, we can set up the equation:
2x + 50 = 5x + 5
Now let's solve for x:
2x - 5x = 5 - 50
-3x = -45
Dividing both sides by -3:
x = (-45)/(-3)
x = 15
Therefore, the value of x is 15.