Write and solve an equation that represents the value of x.

Question

(x - 7 ) degrees
43 degrees
Supplementary angles

Answer 1

Supplementary angles are two angles whose measures add up to $180$ degrees. In this case, you have one angle represented by $(x-7)$ degrees and the other as $43$ degrees.

To set up the equation, we can write:

$$(x-7)+43=180$$

Now, let's solve for $x$:

1. Combine like terms: $$x-7+43=180$$ $$x+36=180$$

2. Subtract $36$ from both sides: $$x=180-36$$ $$x=144$$

So, the value of $x$ is $144$.

To verify, we can check the measures of both angles:

• The first angle is $x-7=144-7=137$ degrees.
• The second angle is $43$ degrees.

Now, checking the sum: $$137+43=180$$

This confirms that our solution is correct. Hence, $x=144$.