Given that ABCD is a rhombus, what is the value of x?
![Given that ABCD is a rhombus what is the value of x class=](https://us-static.z-dn.net/files/df9/899fe1fbb4296985b3527dd30668aec1.jpg)
Answer:
E. 18.6
Step-by-step explanation:
The diagonals of a rhombus bisect each other at right angles. The means all of the triangles shown are right triangles, and the two marked angles are complementary.
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Complementary angles total 90°.
(x°) +(4x -3)° = 90° . . . . . the marked angles are complementary
5x = 93 . . . . . . . . . . . . divide by °, add 3
x = 93/5 = 18.6 . . . . . divide by the coefficient of x
The value of x is 18.6.