Question

In the diagram, polygon JKLM = polygon WXYZ.

4. Find the value of x and y.
(2y + 21
W
122
K
х
129
I-
(3x + 9)
129
M
Z
z
58
L

Answer 1

• x = 40
• y = 60

Explanation:

Corresponding sides of congruent figures are congruent. We can use this fact to find x:

KL = XY

3x +9 = 129

3x = 120 . . . . . subtract 9

x = 40 . . . . divide by 3

__

Similarly, corresponding angles of congruent figures are congruent. This means ...

∠J = ∠W

(2y +2)° = 122°

y +1 = 61 . . . . . . divide by 2°

y = 60 . . . . . . subtract 1