Question

quadrilateral s is a scaled copy of quadrilateral r. quadrilateral r has sides 10, 9 and angles 65°, 65°, 75°. quadrilateral s has a side 18 and angle t°. what is the value of t?

Explanation:

Step1: Recognize scaled copy property

Scaled copies preserve angle measures.

Step2: Find corresponding sides

Side length 9 in R corresponds to 18 in S (scale factor 2). Side length 10 in R corresponds to 20 in S.

Step3: Match corresponding angles

The angle adjacent to side 9 in R is 65°, so the angle adjacent to side 18 in S (corresponding) is also 65°. Thus, t = 65.

Answer:

65