anonymous
  • anonymous
Help me find value of the x
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1439961491717:dw| drawing is not to scale
UnkleRhaukus
  • UnkleRhaukus
are there any right angles or parallel lines?
anonymous
  • anonymous
oops i forgot

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anonymous
  • anonymous
|dw:1439961616291:dw|
anonymous
  • anonymous
AB is parrallel to DE
anonymous
  • anonymous
AB is parallel to DE. What is the value of x?
UnkleRhaukus
  • UnkleRhaukus
|dw:1439961722654:dw|
anonymous
  • anonymous
yes i forgot the degree symbol sorry
UnkleRhaukus
  • UnkleRhaukus
regarding the parallel lines, can you see an alternate angles
anonymous
  • anonymous
yes. i see those two.
UnkleRhaukus
  • UnkleRhaukus
|dw:1439961890921:dw|
UnkleRhaukus
  • UnkleRhaukus
alternate angles are equal!
anonymous
  • anonymous
equal to 180 total, yes?
UnkleRhaukus
  • UnkleRhaukus
[if two angles add to 180° they are called supplementary , (not equal)]
UnkleRhaukus
  • UnkleRhaukus
What angle is alternate to angle D, the 65° angle? can you mark it on the diagram
anonymous
  • anonymous
x
UnkleRhaukus
  • UnkleRhaukus
nope, x is not on the parallel lines
anonymous
  • anonymous
oh the bottom one is also 65?
UnkleRhaukus
  • UnkleRhaukus
which one?
anonymous
  • anonymous
|dw:1439962229588:dw|
UnkleRhaukus
  • UnkleRhaukus
yes, \(\angle CDE =\angle ABC\) (alternate angles are equal)
UnkleRhaukus
  • UnkleRhaukus
so we have all the angles in this triangle : |dw:1439962315847:dw|
anonymous
  • anonymous
oh can i do 40+65 = 105 and subtract that to 180 to get x?
UnkleRhaukus
  • UnkleRhaukus
and we know that the three angles in any triangle are supplementary: \[\angle CAB+\angle ABC+ \angle BCA = 180°\\ 40°+65°+x=180°\\ x=180°-(40°+65°)\\ x=180°-105°\] (exactly)
anonymous
  • anonymous
ok get it. what does supplimentery mean? sorry
UnkleRhaukus
  • UnkleRhaukus
( angles are supplementary ) == ( they add up to 180° )
anonymous
  • anonymous
oh ok thank u so much great explenation

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