What is the value of b? You may assume that the ray is tangent to the circle. A) 126 B)63 C)54 D)94
![What is the value of b You may assume that the ray is tangent to the circle A 126 B63 C54 D94 class=](https://us-static.z-dn.net/files/d5c/ec0558a12af57c6519757a0f53a8d0b3.jpg)
Answer:
Option B 63°
Step-by-step explanation:
we know that
If the ray is tangent to the circle
then
a°+b°=90° -----> by complementary angles
Remember that
The inscribed angle measures half that of the arc comprising
so
Find the measure of inscribe angle a
∠a=(1/2)[54°]=27°
Find the measure of angle b
a°+b°=90°
substitute
27°+b°=90°
b°=90°-27°=63°