Question

Write and solve an equation that
represents the value of x.
43°
(x-7)°

Answer 1

To create an equation that involves the angle measures you provided (43° and (x - 7)°), we can assume that these two angles are supplementary (they add up to 180°) or complementary (they add up to 90°). I'll demonstrate both scenarios.

### Scenario 1: Supplementary Angles
If we assume that the two angles are supplementary:

\[
43° + (x - 7)° = 180°
\]

Now, we'll solve for \( x \):

1. Combine like terms:
\[
43 + x - 7 = 180
\]

2. Simplify:
\[
x + 36 = 180
\]

3. Subtract 36 from both sides:
\[
x = 180 - 36
\]
\[
x = 144
\]

### Scenario 2: Complementary Angles
If we assume that the two angles are complementary:

\[
43° + (x - 7)° = 90°
\]

Now, solve for \( x \):

1. Combine like terms:
\[
43 + x - 7 = 90
\]

2. Simplify:
\[
x + 36 = 90
\]

3. Subtract 36 from both sides:
\[
x = 90 - 36
\]
\[
x = 54
\]

### Final Answers
- For the supplementary angle scenario, \( x = 144 \).
- For the complementary angle scenario, \( x = 54 \).

Please specify which situation fits your needs if you require further context.