The following figure shows a circle with centre O

Find the angle r .
A 153°
B 104°
C 76°
D 38°

Please help me to solve this . If you can solve it , can you explain it to me ? I had migraine solving this question . Thank you ​

The following figure shows a circle with centre O Find the angle r A 153B 104C 76D 38Please help me to solve this If you can solve it can you explain it to me I class=

Respuesta :

Step-by-step explanation:

This is tough! However, using a little bit of logic and playing around with formulas, we can solve this!

We know that an inscribed angle = (1/2) intercepted arc. The arc is directly correlated to the area with 16 degrees.  Therefore, r=(1/2)(16)=8. An inscribed angle counts as long as its sides intersect the circle to form an intercepted arc, and this is not an option given, so I can understand why you're having trouble. I would recommend asking your teacher about this.