steezyb17
steezyb17 steezyb17
  • 01-08-2019
  • Mathematics
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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=

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calculista
calculista calculista
  • 11-08-2019

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°

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