In the rhombus, angle 1 = 140. what are angles 2 - id11402195951, bubbleslol4463

Question

Mathematics: In the rhombus, angle 1 = 140. what are angles 2 and 3? the diagram is not to scale.

bubbleslol4463 · Accepted Answer

(-9,-3)

Step-by-step explanation:

Given the following system of equations:

$\left \{ {{2x=-78-20y} \atop {-x=-51-20y}} \right.$

In order to solve the System of equations, you can use the Substitution method. The steps are:

1. You can solve for "x" from the second equation:

$-x=-51-20y\\\\x=51+20y$

2. Substitute the equation obtained into the first original equation:

$2x=-78-20y\\\\2(51+20y)=-78-20y$

3. Now you must solve for "y":

$102+40y=-78-20y\\\\40y+20y=-78-102\\\\60y=-180\\\\y=\frac{-180}{60}\\\\y=-3$

4. Substitute the value of "y" into the equation x=51+20y and evaluate:

$x=51+20(-3)\\\\x=51-60\\\\x=-9$

Then, the solution is:

(-9,-3)

In the rhombus, angle 1 = 140. what are angles 2 and 3? the diagram is not to scale.