Answer:
Explanation:
You want the measures of the angles marked x° and y° in the given diagram.
Inscribed angle
The measure of an inscribed angle is half the measure of the arc it intercepts. This means any inscribed angles that intercept the same arc will have the same measure.
The inscribed angles with vertices J and K both intercept arc FH, so both have the marked measure of 56°.
x = 56
Angle at chords
The angle where the chords cross (y°) will be half the sum of the arcs those chords intercept. Here, those are arcs FH and JK.
Given that half the arc measure is the measure of the intercepting inscribed angle, we can simply sum the inscribed angles to get y°:
y° = 56° +19° = 75°
y = 75
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