Question

Find the value of y.
120°

Answer 1

Answer:

y = 60°

Step-by-step explanation:

The tangent- chord angle y is half the measure of its intercepted arc , then

y = $\frac{1}{2}$ × 120° = 60°

Answer 2

The value of y is 60 °

What is the tangent- chord angle theorem?

• "The angle generated by a tangent to a circle and a chord is equal to half the angle measure of the intercepted arc," is another way to state the Tangent-Chord theorem.
• Since the angle measure of an intercepted arc is double that of the inscribed angle that subtends it, this is equivalent to what we have demonstrated.
• The measure of an angle formed by a tangent and a chord meeting at the point of tangency is half the measure of the intercepted arc.

Given , the angle is 120°

Now apply the  tangent- chord angle theorem, " a chord meeting at the point of tangency is half the measure of the intercepted "

y = 1/2 × 120°

y = 1/2 × 120° = 60°

Therefore, the value of angle y is 60°.

Learn more about the Tangent-Chord theorem brainly.com/question/2193714

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