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.......
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.
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.......
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.......
CPhill uve done such good to this forum so ill pay u !lol!
a whole lot full of dollars for u !Enjoy!