|dw:1439961491717:dw| drawing is not to scale
are there any right angles or parallel lines?
oops i forgot
AB is parrallel to DE
AB is parallel to DE. What is the value of x?
yes i forgot the degree symbol sorry
regarding the parallel lines, can you see an alternate angles
yes. i see those two.
alternate angles are equal!
equal to 180 total, yes?
[if two angles add to 180° they are called supplementary , (not equal)]
What angle is alternate to angle D, the 65° angle? can you mark it on the diagram
nope, x is not on the parallel lines
oh the bottom one is also 65?
yes, \(\angle CDE =\angle ABC\) (alternate angles are equal)
so we have all the angles in this triangle : |dw:1439962315847:dw|
oh can i do 40+65 = 105 and subtract that to 180 to get x?
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)
ok get it. what does supplimentery mean? sorry
( angles are supplementary ) == ( they add up to 180° )
oh ok thank u so much great explenation