Secants, Tangents, and Angles (Sec 10-5)

Question 1

What are the measures of angles 1 and 2? m∠1 = ° m∠2 = °

Revolt · Accepted Answer

B: 50

Question 2

Which formula would be used to find the measure of angle 1?

Revolt · Accepted Answer

D: (a° – b°).

Question 3

What is the measure of angle ABC?

Revolt · Accepted Answer

A: 42.5°

Question 4

Question 4

Revolt · Accepted Answer

116546

Question 5

Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangle . Because the measure of an exterior angle is equal to the sum of the measures of the remote interior angles, m∠JHI = m∠JGI + m∠GJH. By the , b = m∠JGI + a. Using the subtraction property, m∠JGI = b – a. Therefore, m∠JGI = (b – a) by the distributive property.

Revolt · Accepted Answer

B: inscribed angle theorem

Question 6

What is the measure of angle AOC?

Revolt · Accepted Answer

C: 66°

Question 7

Question 7

Revolt · Accepted Answer

116555

Question 8

Question 8

Revolt · Accepted Answer

116556

Question 9

Question 9

Revolt · Accepted Answer

206724

Question 10

Question 10

Revolt · Accepted Answer

No, it is not possible for the two tangents to intersect. By definition, a tangent is perpendicular to the radius at the point of tangency. Since the tangents are at opposite endpoints of the same diameter, they are both perpendicular to the same line (the diameter). Therefore, the two tangent lines are parallel and will never intersect. Alternatively, the measure of the angle formed by two tangents is half the difference of the intercepted arcs. If the endpoints are a diameter, both arcs are 180 degrees, and half of (180 - 180) is 0, meaning no angle or intersection is formed.

Secants, Tangents, and Angles (Sec 10-5) Answers

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