Use the RAY, ANGLE WITH GIVEN SIZE and/or other tool(s) to do the following 2 tasks: [br][br]1) Use the RAY [icon]/images/ggb/toolbar/mode_ray.png[/icon] tool to construct a ray with endpoint [i]A[/i] that passes through [i]B[/i]. [br][br]2) From this ray, construct an angle (with vertex = endpoint of this ray) whose measure = [math]70^\circ[/math]. [br] To do this, select the ANGLE WITH GIVEN SIZE [icon]https://www.geogebra.org/images/ggb/toolbar/mode_anglefixed.png[/icon] tool. Select [i]B[/i], [i]A[/i] (vertex), and then enter [math]70^\circ[/math] [br] counterclockwise. [br][br][color=#0000ff]Further directions appear below the applet. [/color]
3) Somewhere else in the applet window, we will now construct a triangle having one interior angle [br] measuring [math]35^\circ[/math] and another interior angle measuring [math]100^\circ[/math]. (Size, of course, does not matter). [br] [br] [b]To start this process, you can do the following: [/b][br] a) Construct a ray with endpoint [i]C[/i] that passes through [i]D[/i]. [br] b) Select the ANGLE WITH GIVEN SIZE tool. Select, in this order, [i]D[/i], then [i]C[/i]. Then enter [math]35^\circ[/math] [br] counterclockwise. [color=#9900ff]Then construct ray with endpoint [i]C[/i] that passes through [i]D'[/i]. [/color] [br] c) With ANGLE WITH GIVEN SIZE tool still selected, select, in this order, [i]C[/i], then [i]D[/i]. Then enter [math]100^\circ[/math] [br] clockwise. [color=#9900ff]Then construct ray with endpoint [i]D[/i] that passes through [i]C'. [/i][/color] [br] d) Use the INTERSECT tool to plot the point of intersection of [color=#9900ff]these two rays[/color]. [br] e) Use the POLYGON tool to construct a triangle with vertices [i]C[/i], [i]D[/i], and point you plotted in (d). [br] f) Go to the "Steps" window and hide [color=#9900ff]these two rays [/color](if you so choose). [br][br][color=#0000ff]When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet. [/color]