anonymous
  • anonymous
The measure of arc AXB is 196. What is the measure of the tangent-chord angle ABC? http://media.apexlearning.com/Images/200701/18/55e3ff85-2144-4d69-9c27-2b7789a8d76c.gif
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
i reaalllyyyyy need the help :) please
welshfella
  • welshfella
the m
welshfella
  • welshfella
|dw:1434905469876:dw|

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More answers

welshfella
  • welshfella
you can use the fact that the arc AXB = 196 degrees to find the value of this angle
anonymous
  • anonymous
is there a formula i can plug this into?
welshfella
  • welshfella
I never did arcs when in college (many years ago) so i'm not sure!. Sorry you'll have to google that - or someone else probably knows
welshfella
  • welshfella
there's probably a theorem
welshfella
  • welshfella
|dw:1434906010781:dw|
welshfella
  • welshfella
the angle marked is 360 - 196 = 164 degrees
welshfella
  • welshfella
this is the angle at the center of the circle
anonymous
  • anonymous
then do you subtract it from 180 and with that answer divide by 2?
welshfella
  • welshfella
|dw:1434906331031:dw|
welshfella
  • welshfella
that angle is 82 because its 1/2 of 164
welshfella
  • welshfella
now opposite angles of a cyclic quadrilateral add up to 180 so the opposite angle = 180 - 82 = 98
Mertsj
  • Mertsj
The Theorem: An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc. 1/2 of196=98
welshfella
  • welshfella
|dw:1434906511832:dw|
welshfella
  • welshfella
- which makes m
anonymous
  • anonymous
thank you !
anonymous
  • anonymous
could you help me with another one?
welshfella
  • welshfella
there you go Mertsj has a quick way
anonymous
  • anonymous
If the measure of angle DEF is 65, what is the measure of arc DE ? http://media.apexlearning.com/Images/200701/18/df4742e6-e568-423e-bfe0-61f1985506e7.gif
Mertsj
  • Mertsj
Did you read the theorem I posted above?
anonymous
  • anonymous
so do i just double 65
welshfella
  • welshfella
use the theorem Mertsj quoted
Mertsj
  • Mertsj
yes
anonymous
  • anonymous
thank you!
Mertsj
  • Mertsj
yw
welshfella
  • welshfella
easy using that theorem
Mertsj
  • Mertsj
yep. That's what theorems are for. You prove something once and for all and then you don't have to reinvent the wheel for every similar problem.
welshfella
  • welshfella
true - Its weird but we never touched arc measurements in Geometry in the UK - as I said I'm talking decades ago. Maybe they do now.
Mertsj
  • Mertsj
hopefully
welshfella
  • welshfella
yes - i don't understand why they didn't
anonymous
  • anonymous
how about another one?
welshfella
  • welshfella
lol - this is a learning experience for me - OK
anonymous
  • anonymous
In the diagram below, line AB and BC and are tangent to center O. What is the measure of arc ADC?
anonymous
  • anonymous
so sorry
anonymous
  • anonymous
http://media.apexlearning.com/Images/200701/18/ac3f47ed-9e85-4bd0-a3dc-1b67c4cc90fb.gif
welshfella
  • welshfella
well as a full circle is 360 degrees arc ADC = 360 - 140
anonymous
  • anonymous
so its 220
welshfella
  • welshfella
yes
anonymous
  • anonymous
thank you so much seriously!
welshfella
  • welshfella
yw
welshfella
  • welshfella
i learned something new myself

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