We are given triangle ABC as shown in the following diagram.
It is our goal to draw a triangle that is similar to △ ABC. To do this, we will draw a triangle such that has two pairs of congruent angles with △ ABC. Let's carefully perform the construction step by step.
Begin by drawing two points, X and Z, and a line that passes through them by using a ruler.
Place the center of a protractor on X so that the line drawn on the bottom portion of the protractor coincides with XZ. Then, locate 34^(∘) on the protractor and mark a point P. This is the measure of ∠ ZXP. Draw a line through X and P to create XP.
Place the center of the protractor on Z such that its line coincides with XZ. Then, mark a point Q such that the measure of ∠ XZQ is 75^(∘). Draw ZQ.
