(HELP) JK⎯⎯⎯⎯⎯ is tangent to ⊙G at point K , m∠JKG=(52x+1314)° , and m∠KGJ=(54x+998)° . What is m∠KGJ ? m∠JGK= -----°

Dima Kurilo asked Sep 24, 2022

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(HELP)

JK⎯⎯⎯⎯⎯ is tangent to ⊙G at point K , m∠JKG=(52x+1314)° , and m∠KGJ=(54x+998)° . What is m∠KGJ ?
m∠JGK= -----°

Dima Kurilo asked Sep 24, 2022

2.7k points

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20 votes

Answer:

41°

Explanation:

The tangent line of circle is perpendicular to the radius of a circle

m∠JKG = (5/2 x + 131/4)° = 90°

x = 22.90

m∠JGK = (5/4 x + 99/8)° = ((5/4 * 22.90) + 99/8)° = 41°

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