## THIS USER ASKED 👇

**What is the value of b? you may assume that the ray is tangent to the circle.**

## THIS IS THE BEST ANSWER 👇

Option B 63 °

Step by step explanation:

we know that

If the radius is tangent to the circle

then

a ° + b ° = 90 °> at complementary angles

Remember that

The inscribed angle measures half the arc spanning

so

Find the measure of the inscribed angle a

∠a = (1/2)[54°]= 27 °

Find the measure of the angle b

a ° + b ° = 90 °

substitute

27 ° + b ° = 90 °

b ° = 90 ° -27 ° = 63 °

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