In a rhombus, the diagonals are perpendicular, creating four congruent right triangles.
Because the value of all three angles within any given triangle will add up to 180°, we can easily simplify the equation.
First, we’ll need to add our given angles. Which are 32° (as can be seen on the graph) and 90° (because any pair of perpendicular lines create four right angles and this triangle includes one of them).
32° + 90° = 122°
Next, we’ll subtract 122 from 180 to find the remaining angle measure
180 - 122 = 58
Then, we’ll subtract 31 with the subtraction property of equality
58 - 31 = 27
Right now, our equation looks like:
27 = 9x
In order to simplify this equation further, we must use the division property of equality to get x on its own.
