Answer:
D) 111
Step-by-step explanation:
In order to find ∠KJH we must find the measure of arc KH
Note that ∠KJH is a central angle and arc KH is the arc it intercepts
Because ∠KJH is a central angle it equal the measure of its intercepted arc
Thus, ∠KJH = arc KH
J is a circle that is made up of 3 arc; KL, LH and KH
If you didn't know the sum of the arcs in a circle = 360°
Which means that arc KL + arc LH + arc KH = 360
If arc KL = 136 and arc LH = 113
Then 136 + 113 + arc KH = 360
^ ( note that we just created an equation that we can use to
solve for arc KH )
We now solve for arc KH
136 + 113 + arc KH = 360
* combine like terms *
136 + 113 = 249
we now have 249 + arc KH = 360
* subtract 249 from each side *
249 - 249 cancels out
360 - 249 = 111
We're left with arc KH = 111°
Like stated previously arc KH = ∠KJH
Hence, ∠KJH = 111°
