In circle F, ZGHK and ZGJK are inscribed angles that intercept the same arc. Points G, H, J, and K are points on the circle. Given m/GHK = (7x + 9)˚ and m/GJK = (8x − 2)°, find mGK.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 30E
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10. In circle F, GHK and ZGJK are inscribed angles that
intercept the same arc. Points G, H, J, and K are points on
the circle. Given m/GHK (7x + 9)° and
m/GJK = (8x − 2)°, find mGK.
OmGK
OmGK
OmGK
OmGK = 172°
=
=
11°
86°
= 116⁰
=
Transcribed Image Text:10. In circle F, GHK and ZGJK are inscribed angles that intercept the same arc. Points G, H, J, and K are points on the circle. Given m/GHK (7x + 9)° and m/GJK = (8x − 2)°, find mGK. OmGK OmGK OmGK OmGK = 172° = = 11° 86° = 116⁰ =
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