Question

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

Answer 1

Option B 63°

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°