Find mZABD and mZCBD given m ABC = 111º. A
(-10x + 58)
D
(6x + 41)
B
С
17

m∠CBD=98 °

Step-by-step explanation:

m\angle ABDm∠ABD is a straight angle.

m\angle ABC=2x+50m∠ABC=2x+50 °

m\angle CBD=6x+2m∠CBD=6x+2 °

∵ m\angle ABDm∠ABD is a straight angle.

∴ m\angle ABDm∠ABD is equal to 180°.

Now, angle ABD is a sum of angles ABC and CBD. This gives,

\begin{gathered}\angle ABD=\angle ABC+\angle CBD\\180=2x+50+6x+2\\180=8x+52\\8x=180-52\\8x=128\\x=\frac{128}{8}=16\end{gathered}∠ABD=∠ABC+∠CBD180=2x+50+6x+2180=8x+528x=180−528x=128x=8128=16

∴ x=16.

Now, m\angle CBD=6x+2m∠CBD=6x+2

Plug in 16 for xx and calculate angle CBD. This gives,

m\angle CBD=6x+2=6(16)+2=96+2=98m∠CBD=6x+2=6(16)+2=96+2=98 °.

Therefore, m\angle CBD=98m∠CBD=98 °.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.