Based on the angle of intersecting tangents theorem, the measure of angle LJH is determined as: B. 24°.
How to Apply the Angle of Intersecting Tangents Theorem?
The angle of intersecting tangents theorem states that, measure of angle LJH = 1/2(the positive difference of the measures of intercepted arcs LH and GK).
Given the following:
Measure of intercepted arc LH = 86°
Measure of intercepted arc GK = 38°
Based on the angle of intersecting tangents theorem, we have the equation below:
Measure of angle LJH = 1/2(m(LH) - m(GK))
Substitute
Measure of angle LJH = 1/2(86 - 38)
Measure of angle LJH = 24°
Therefore, applying the angle of intersecting tangents theorem, the measure of angle LJH is: B. 24°.
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