Question

Give the most precise name for the quadrilateral. Then, find x and y.

a) square x=64 y=4
b) rhombus x=27 y=4
c) square x=27 y=4
d) rhombus x=64 y=20
e) parallelogram x=27 y=20

Answer 1

B

Explanation:

(2x - 1) + (2x - 1) + 127 + 127 = 360

n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.

(4x - 2) + 254 = 360

4x - 2 + 254 = 360

4x = 360 - 252

4x = 108

x = 108/4

x = 27

6y - 3y = 3y + 7

6y - 3y = 7 + 5

3y = 12

y = 12/3

y = 4