95.0k views
3 votes
(HELP)

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

(HELP) JK⎯⎯⎯⎯⎯ is tangent to ⊙G at point K , m∠JKG=(52x+1314)° , and m∠KGJ=(54x+998)° . What-example-1
User Ltebean
by
7.6k points

1 Answer

3 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°

(HELP) JK⎯⎯⎯⎯⎯ is tangent to ⊙G at point K , m∠JKG=(52x+1314)° , and m∠KGJ=(54x+998)° . What-example-1
User Khanakia
by
7.6k points