Question

I need help on number 42 specifically. id appreciate it ! :)

Answer 1

When an angle is bisected it means that the bisector splits the angle in exactly half. This means that m<ABD and m<CBD are equal. Knowing this you can make an equation of setting them equal to each other so that you can solve for x:

`(x)/(2) + 17 = x - 33`

First combine like terms:

`(x)/(2) - x = - 33 - 17`

`(-1)/(2)x = -50`

Now isolate x by multiplying -2 to both sides

x = 100

Now to find m<ABC add both m<ABD and m<CBD together while plugging 100 in for x:

`(100)/(2) + 17 + 100 - 33`

50 + 17 + 100 - 33

134

Hope this helped!

~Just a girl in love with Shawn Mendes