anonymous
  • anonymous
I can't find the missing angles.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1437537537663:dw|
anonymous
  • anonymous
It is 60 and 60
anonymous
  • anonymous
My textbook says that angle ABC=111 and angle CDE=129

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More answers

anonymous
  • anonymous
That is the answer but how do i get it?
mathstudent55
  • mathstudent55
ABCDE is a pentagon.
mathstudent55
  • mathstudent55
A pentagon has 5 sides. The sum of the measures of the internal angles of a pentagon is (n - 2)180 = (5 - 2)180 = 3(180) = 540
mathstudent55
  • mathstudent55
|dw:1437538174022:dw|
anonymous
  • anonymous
then the ? on the left is 51 and the ? on the right is 69
anonymous
  • anonymous
math student 55 am i right?
mathstudent55
  • mathstudent55
540 - 120 - 60 - 60 - 30 - 30 - 60 - 60 = 120 The sum of the measures of the missing angles is 120.
anonymous
  • anonymous
I don't understand how you would get ? though.
mathstudent55
  • mathstudent55
|dw:1437538419243:dw|
mathstudent55
  • mathstudent55
|dw:1437538472592:dw|
mathstudent55
  • mathstudent55
|dw:1437538502849:dw|
anonymous
  • anonymous
How did you get 69?
mathstudent55
  • mathstudent55
The inscribed angle
anonymous
  • anonymous
i see
mathstudent55
  • mathstudent55
|dw:1437538600159:dw|
mathstudent55
  • mathstudent55
|dw:1437538634138:dw|
anonymous
  • anonymous
Okay then. I see how you got it. Thanks for the help. :)
mathstudent55
  • mathstudent55
I assumed that O is the center of the circle. Is my assumption correct?
anonymous
  • anonymous
Yeah it is
mathstudent55
  • mathstudent55
ok
mathstudent55
  • mathstudent55
Then you don't need to use the angles of a pentagon like I did above.
mathstudent55
  • mathstudent55
You need to know that a central angle measures the same as its arc. An inscribed angle measures half of its arc.
mathstudent55
  • mathstudent55
|dw:1437538880449:dw|
anonymous
  • anonymous
Oh i was kinda confused about why the inscribed measures half of its arc.
mathstudent55
  • mathstudent55
Here is how you solve this problem. It is very few steps. 1. Arcs DE and BA are 60 degrees like their central angles. |dw:1437538961885:dw|
mathstudent55
  • mathstudent55
2. Arc CDE is 42 + 60 = 102 deg m
mathstudent55
  • mathstudent55
3, Subtract 360 - 42 - 60 - 120 - 60 = 78 to find arc BC If BC = 78, then arc ABC = 138 m
mathstudent55
  • mathstudent55
That's it.
anonymous
  • anonymous
Thanks @mathstudent55 :D Your the best! I understand it better now.
mathstudent55
  • mathstudent55
You're welcome.

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