Question

Abc is bisected by bd for what value of x will dx= day be true?

Answer 1

`x=3\\`

Explanation:

Note that because BD is an angle bisector, then angle XBD and angle DXY are equal. Also note that BYD and BXD are equal because they are both right angles. Also, by the transaitive property, BD = BD. Therefore, it can be concluded that BXD is congruent to BYD.

Therefore, we must solve
`5x+4=19 \Longrightarrow 5x = 15 \Longrightarrow x=3`.