Construct an angle whose measure is [math]\frac 34[/math] the measure of [math]∠S[/math].
[list=1] [*]Copy the angle and label the vertex [math]S[/math]. [*]Make a large arc intersecting the sides of [math]∠S[/math]. [*]Find a point that is equidistant from both sides of [math]∠S [/math]. [*]Draw the angle bisector. [math]∠TSW[/math] is congruent to [math]∠WSU[/math]. The measure of [math]∠TSW[/math] is [math]\frac 12[/math] the measure of [math]∠S[/math]. The measure of [math]∠WSU[/math] is [math]\frac 12[/math] the measure of [math]∠S [/math]. [*]Find a point that is equidistant from both sides of [math]∠WSU[/math]. [*]Draw the angle bisector. Do not erase any of your markings. [math]∠XSZ[/math] is congruent to [math]∠ZSU[/math]. [math]∠TSZ[/math] is [math]\frac 34[/math] the measure of [math]∠TSU[/math]. [/list]