The answer is 74.1 degrees. :)
Given:
Measure of arc FJ = 84°
Measure of arc GH = 76°
To find:
The measure of angle HKJ.
Solution:
The image of the question is attached below.
Angles inside the circle theorem:
If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.
![$\Rightarrow m \angle G K H=\frac{1}{2}(m(a r \ G H)+m(a r \ F J))](https://tex.z-dn.net/?f=%24%5CRightarrow%20m%20%5Cangle%20G%20K%20H%3D%5Cfrac%7B1%7D%7B2%7D%28m%28a%20r%20%20%5C%20G%20H%29%2Bm%28a%20r%20%5C%20%20F%20J%29%29)
![$\Rightarrow m \angle G K H=\frac{1}{2}\left(76^{\circ}+84^{\circ}\right)](https://tex.z-dn.net/?f=%24%5CRightarrow%20m%20%5Cangle%20G%20K%20H%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%2876%5E%7B%5Ccirc%7D%2B84%5E%7B%5Ccirc%7D%5Cright%29)
![$\Rightarrow m \angle G K H=\frac{1}{2}\left(160^{\circ}\right)](https://tex.z-dn.net/?f=%24%5CRightarrow%20m%20%5Cangle%20G%20K%20H%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%28160%5E%7B%5Ccirc%7D%5Cright%29)
![\Rightarrow m \angle G K H=80^{\circ}](https://tex.z-dn.net/?f=%5CRightarrow%20m%20%5Cangle%20G%20K%20H%3D80%5E%7B%5Ccirc%7D)
Sum of the adjacent angles in a straight line is 180°.
⇒ m∠GKH + m∠HKJ = 180°
⇒ 80° + m∠HKJ = 180°
Subtract 80° from both sides.
⇒ 80° + m∠HKJ - 80° = 180° - 80°
⇒ m∠HKJ = 100°
The measure of ∠HKJ is 100°.
Answer:
x = (-5,10)
Step-by-step explanation:
Step-by-step explanation:
V=pi r^2h
V=3.14x3^2x7
=197.82
42 - 24n
I think and I hope this helps