Question

Given that ABCD is a rhombus, what is the value of x?

Answer 1

Answer:

B

Step-by-step explanation:

A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:

$(4x-25)+x=90$

$4x-25+x=90$   Take out the parentheses

$5x-25=90$   Combine like terms

$5x=115$   Add 25 to both sides so as to isolate the variable

$x=23$   Divide both sides by 5