12.5k views
2 votes
Bd bisects abc so that m abd is x-5 and m cbd is 2x-6. find the value of x

User Terry Shi
by
8.9k points

1 Answer

3 votes

We are given m<ABC is bisected by segment BD.

There form two angles m<ABD and m<CBD.

m<ABD = x-5.

m<CBD = 2x-6.

Angle bisector divide an angle into two equal angles.

Therefore,

Angle m<ABD = angle m<CBD

Plugging given values of m<ABD and m<CBD, we get

x-5 = 2x-6

Adding 6 on both sides, we get

x-5+6 = 2x-6+6

x+1 =2x.

Subtracting x from both sides, we get

x-x+1 =2x-x

1=x.

Therefore, the value of x is 1.

User Anantha Kumaran
by
7.6k points

No related questions found