Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Answer:
a) 101°
Step-by-step explanation:
arc HK = 2(39.59°) = 79.18°
arc JH = 180°
arc JK = 360° - 180° - 79.18° = 100.82°
JK = 101°
The correct answer is option (A) 101°
What is an inscribed angle?
"It is an angle in a circle formed by two chords that have a common end point on the circle."
For given example,
m ∠J = 39.59°
We know, the measure of an inscribed angle in a circle equals half the measure of its intercepted arc.
⇒ m(∠J) = (1/2) × arc KH
⇒ arc KH = 2 × 39.59°
⇒ arc KH = 79.18°
Also, arc HJ = 180°
We know for given figure,
⇒ arc JK + arc KH +arc HJ = 360°
⇒ arc JK + 79.18° + 180° = 360°
⇒ arc JK + 259.18° = 360°
⇒ arc JK = 100.82°
⇒ mJK ≈ 101°
Therefore, mJK = 101°
The correct answer is option (A) 101°
Learn more about the inscribed angle here:
https://brainly.com/question/15899344
#SPJ2
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.