Question

MATHEMATICAL CONNECTIONS

The two polygons are similar. Find the values of x and y.
X
- 73)
116
61°
6
116
5
X=
y =

Answer 1

x = 7.5, y = 134

Explanation:

Since both polygons are similar, hence the ratio of their similar sides will be equal to a constant;

Using the similarity theorem;

6/4 = x/5

4x = 6 * 5

4x = 30

x = 30/4

x = 7.5

Also;

y - 73 = 61

y = 73+61

y = 134

Hence x = 7.5, y = 134