Question 1173345
<br>
(1) The sum of the measures of the arcs of a circle is 360 degrees.
(2) The sum of the measures of the angles of a triangle is 180 degrees.
(3) The measure of an angle inscribed in a circle is half the measure of the intercepted arc.
(4) The measure of an angle formed by two chords of a circle is the average of the measures of the two arcs intercepted by the chords.<br>
The measures of angles YBX and BXY are given; use (2) to find the measure of angle BYX.<br>
Use (3) and the given measure of arc AB to find the measures of all the arcs of the circle.<br>
Then....<br>
angle BAX: (3) with arc BX
angle XEY: (4), with arcs AB and XY
angle XAY: (3), with arc XY
angle AXB: (3), with (given) arc AB
angle AXY: (3), with arc AY
angle YBX: (given)<br>