UCSS Math I 5.3.2 Example 4

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] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math I[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.