Question

1. Find the value of x.

D
23°
15 ft
64°
F
E
Z
64°
Y
X
23°
(4x - 1) ft

Answer 1

The value of x is 4 feet.

The measures of the sides and angles of two triangles are said to be congruent. Therefore, by comparing the length of sides DE and XY we have;

(4x - 1) = 15

4x = 15 + 1

4x = 16

x = 4

The value of x is 4 feet.