Angles of similar triangles practice
Here are a few practice problems for finding angles in similar triangles:
1) In triangle ABC, angle A measures 40 degrees. Triangle DEF is similar to triangle ABC with a scale factor of 2. What is the measure of angle D?
Since the scale factor is 2, all corresponding angles will have the same measure. Therefore, angle D also measures 40 degrees.
2) In triangle PQR, angle P measures 80 degrees and angle Q measures 50 degrees. Triangle STU is similar to triangle PQR with a scale factor of 3. What is the measure of angle S?
Since the scale factor is 3, the measure of angle S will be 3 times the measure of angle P, which is 3 * 80 = 240 degrees.
3) In triangle XYZ, angle X measures 30 degrees and angle Z measures 60 degrees. Triangle WXY is similar to triangle XYZ with a scale factor of 0.5. What is the measure of angle W?
Since the scale factor is 0.5, the measure of angle W will be half the measure of angle X, which is 0.5 * 30 = 15 degrees.
Remember that in similar triangles, corresponding angles are congruent (i.e., have the same measure), regardless of the size of the triangles.