The measure of Arc JK = 104° and the measure of ∠KIJ = 52°.
Given that, ∠JKI = 70°, arc KI = 116°
We need to find the value of arc JK and angle ∠KJI.
What is an arc?
In general, an arc is any smooth curve joining two points. The length of an arc is known as its arc length.
As we have given the arc KI = 116°, so we can find the ∠KJI by intercept property.
∠KJI = arc KI/ 2
Putting the values in the formula we get ∠KJI = 116°/2
⇒∠KJI = 58°
Now by the angle sum property of a triangle, we get ∠K +∠I +∠J = 180°
⇒70° + I + 58° = 180°
⇒I = 52°
Now by using the intercept formula, we get arc KJ.
∠JIK = arc JK/ 2
⇒ 2 (∠JIK) = arc JK
⇒ 2 (52°) = arc JK
⇒ arc JK = 104°
Therefore, the measure of Arc JK = 104° and the measure of ∠KIJ = 52°.
To learn more about the arc of a circle visit:
https://brainly.com/question/16930503.
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