At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Answers are 20, 30, 40, 120. i know 30 is incorrect so far.
solve t first
Hint : Opposite angles of a parallelogram are equal.
yes you are right.
Okay now, another property : Adjacent angles of a parallelogram are supplementary
Anndd...now im confused..
Do you what does "supplementary" mean?
nope. i dont know any of those terms really.. i have a hard enough time with the numbers. I can google if you want.??
So, we say , angle 1 and angle 4 are supplementary angles (i.e. their sum is 180 degrees and they are adjacent)
ok..are we doing a different problem?
No, it was just an example.
im sorry but your not helping. im even more confused. :(
May be, I am not good at helping ... Will try again. Okay, let us concentrate on Parallelogram LMNO only.
Can you name me the adjacent angles in Parallelogram LMNO ?
okay. sounds good. LO, MN ?
Hmm, No! They are opposite sides.
Okay, name all the angles of the parallelogram there.
Okay. You meant Angle L , Angle M , Angle N and Angle O.
can i just have help with the actual problem?? Im not getting what your trying to do??
You guessed the adjacent angles right. Angle L and Angle O are the adjacent angles. Now, in a parallelogram , the sum of adjacent angles is 180 degrees. So, Angle L + Angle O = 180 degrees.
We are progressing towards the answer ash. Please cooperate with me. :)
im sleep deprived.. :/
Excellent. And you have \((4r) + (2t + 10) = 180\) And t = 25 (you found it above)
Put t = 25 in the equation : 4r + 2t + 10 = 180 And solve for r.
no wait.. it wrong. :/
I don't think that it is wrong. r = 30 should be correct.
so if r=30 , then s= 40?
Sorry, i didn't notice that we have to solve for "s" . You may have directly solved for "s" by considering the two adjacent angles M and N and then solve for s. Though, answer will remain same. Sorry, if I was not able to help you perfectly. Good Luck!