Question

BD bisects ABC.

Find m ABD, m CBD, and m ABC.
A. (6x + 14)°
D
(3x + 29)
B

Answer 1

`ABD = CBD = 44`

`ABC =88`

Explanation:

The question is not properly formatted;

`ABD = 6x + 14`

`CBD = 3x + 29`

Required

Determine ABC

Since BD is the bisector, then

`ABD = CBD`

`6x + 14 = 3x + 29`

Collect Like Terms

`6x - 3x = 29 -14`

`3x = 15`

`x =5`

`ABD = 6x + 14`

`ABD = 6 * 5 +14`

`ABD = 30 +14`

`ABD =44`

`ABD = CBD = 44`

`CBD = 44`

ABC is calculated as

`ABC = CBD + ABD`

`ABC = 44 + 44`

`ABC =88`