Question

What is the value of x in the rhombus below?

Answer 1

@ParthKohli

Answer 2

@whpalmer4

Answer 3

Since this is a rhombus, the other angle in the triangle is 90 degrees. So
\[90+2x+7+3x+3=180\]
SImplifying, we get
\[5x=80\]
which gives us an answer of\[
x=16\]

Answer 4

ty so much

Answer 5

Glad to help! Does it amke sense why the angle is 90 degrees?

Answer 6

If you didn't remember that the diagonals of a rhombus intersect at right angles, you could do
\[4(2x+7) + 4(3x+3) = 360\] and get the same result.

Answer 7

^yep, that works too! Always lots of ways to solve a problem.