Question

Find the value of xx, yy, and zz in the rhombus below.
90°
(-5x-10)°
(-4y+6)°
(-3z+9)°
Answer
Attempt 1 out of 2

x, equalsx=
y, equalsy=
z, equalsz=

Answer 1

In a rhombus, if one angle is 90° the figure is a square, so every angle is 90°. Set each expression equal to 90 and solve.

-5x − 10 = 90 → −5x = 100 → x = −20
-4y + 6 = 90 → −4y = 84 → y = −21
-3z + 9 = 90 → −3z = 81 → z = −27

Answer:
x = −20, y = −21, z = −27