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