Question

If the sum of the measures of ∠H and ∠J is 76∘ , what is the measure of ∠I ?

Answer 1

Answer: HKJ = 100

Explanation

In this problem we need to use the property of a inscribed angle:

The inscribed angle is a point in the circle that has endpoints also in the circle. The value of the inscribed angle is half the value of the arc formed by the endpoints.

So, If the arc FJ is 84°, we have that the angle in point G isi 84/2 = 42°