Solution:
This geometry problem involves a circle with two intersecting chords. According to the intersecting chords theorem (sometimes called the chord-chord product theorem), opposite angles formed by two intersecting chords are supplementary. This means that their sum is 180 degrees.In the provided image, you have two angles labeled x° and y°, along with two given angles of 46° and 90°. According to the theorem:x° + 46° = 180° (since they are opposite angles)y° + 90° = 180° (since they are opposite angles)Let's solve for x and y:x° = 180° - 46°x° = 134°For y:y° = 180° - 90°y° = 90°Therefore, the values of x and y are:x = 134°y = 90°