+0  
 
0
679
10
avatar+279 

Wish I love Maths As Much As You! Thank You For Any Help!

 Jun 18, 2014

Best Answer 

 #3
avatar+129852 
+10

Wow!!!...This one's a little tough, huh??  Let's see if we can figure it out !!!

The angle at the top of the circle is a right angle because it subtends an arc of 180. And an inscribed angle measures1/2 of its intercepted arc. So the measure  of "d" = 90 -53 = 36.

And since d measures 36 degrees, it's intercepted arc = 72. But this is the same arc subtended by the central angle "c."  And a central angle = the measure of its intercepted arc. So "c" = 72.

And the central angle "b" is just supplementary to "c" so it = 180 - 72 = 108.

And "a" subtends the same arc as "b" = 108. But since it's an inscribed angle, it's measure is (1/2) of this = 54.

I think that's it.......

 Jun 18, 2014
 #1
avatar
+5

I can tell you that based on thales' theorem it must be the case that d=37.   I;ll continue to think a moment more about the other three.

 Jun 18, 2014
 #2
avatar+33661 
+5

c is twice as big as d.

2a + c = 180°

 Jun 18, 2014
 #3
avatar+129852 
+10
Best Answer

Wow!!!...This one's a little tough, huh??  Let's see if we can figure it out !!!

The angle at the top of the circle is a right angle because it subtends an arc of 180. And an inscribed angle measures1/2 of its intercepted arc. So the measure  of "d" = 90 -53 = 36.

And since d measures 36 degrees, it's intercepted arc = 72. But this is the same arc subtended by the central angle "c."  And a central angle = the measure of its intercepted arc. So "c" = 72.

And the central angle "b" is just supplementary to "c" so it = 180 - 72 = 108.

And "a" subtends the same arc as "b" = 108. But since it's an inscribed angle, it's measure is (1/2) of this = 54.

I think that's it.......

CPhill Jun 18, 2014
 #4
avatar+279 
0

You Should Be a Millionaire CPHill! You are AMAZING :D

 Jun 18, 2014
 #5
avatar+129852 
+5

Ha!!!  I can do some basic geometry stuff......just don't ask me any probability questions.....!!!

Also...I'm afraid I'm not a millionaire...but...if you wanted to send me a  check.......

 

 Jun 18, 2014
 #6
avatar+279 
+3

You All Should Be Paid For this Stuff! :D

 Jun 18, 2014
 #7
avatar+129852 
0

.....That's what I've been trying to TELL them!!

 

 Jun 18, 2014
 #8
avatar+11912 
+8

CPhill uve done such good to this forum so ill pay u !lol!

a whole lot full of dollars for u !Enjoy!

 Jun 19, 2014
 #9
avatar+129852 
0

Thanks, rosala.......so far....you have sent me flowers and money this week....can't beat that!!

 

 Jun 19, 2014
 #10
avatar+11912 
0

ur welcome CPhill!

 Jun 19, 2014

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