Given that the figures are similar figures, then:
x and y in the Parallelograms:
x = 88
y = 118°
x, y, and z in the Hexagons:
x = 164°
y = 36
z = 33
x, y, and z in the Triangles:
x = 10
y = 21
z = 75°
What are Similar Figures?
Similar figures have pairs of angles that have the same degree measure, and the ratio of their corresponding sides are equal.
Given that the pairs of figures are similar, let's find the missing angles and sides as shown below:
Find x and y in the Parallelograms:
x/66 = 100/75
Cross multiply
x = (100 × 66)/75
x = 88
y = 118° (opposite angles of a parallelogram are congruent)
Find x, y, and z in the Hexagons:
x = 164° (congruent angles)
y/54 = 20/30
y = 36
22/z = 20/30
z = 33
Find x, y, and z in the Triangles:
x/15 = 12/18
x = 10
14/y = 12/18
y = 21
z = 180 - 65 - 40 = 75°
Learn more about similar figures on:
https://brainly.com/question/4381215
