G.3.15.2 Similar Sequence

Here is some given information about 2 triangles:

• Triangle XYZ is similar to triangle PQR
• XZ = 6
• ZY = 8
• Angles Z and R are right angles
• Angle Y is 37 degrees
• The scale factor from triangle XYZ to triangle PQR is 3/2

Find the lengths of sides XY, PR, PQ, and QR. Find the measure of angles X, P, and Q.

Here is some given information about another triangle:

• Triangle ABC is similar to triangle DEF
• AC = 13
• DE = 17
• DF = 8
• Angles C and F are right angles
• Angle A is 62 degrees

Find the lengths of sides AB, BC, and EF. Do not round, leave your answers as fractions. Find the measure of angles D, B, and E.