In the diagram, mZJ = 39.59. Find mJK.
H
K
a. MJK 101°
b. JK = 799
C.
JK = 140.5°
JK = 50.5°
d.
Answers
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
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