Question

Solve for x.
top corner = ?
left bottom corner = x + 35
right bottom corner = 60 degrees


Question 3 options:

1


-10


-5


-6

Answer 1

To solve for \( x \) based on the information provided, we need to set up a relationship between the angles described, since the problem appears to involve angles in a geometric context.

### Given:
- Left bottom corner angle = \( x + 35 \)
- Right bottom corner angle = \( 60^\circ \)
- The angles appear to be part of a triangle or a situation where angles sum to a certain value.

### Applying Angle Sum Property:
If we assume these angles are part of a triangle, the sum of angles in a triangle is \( 180^\circ \).

Let's denote the top corner angle as \( A \):
\[
A + (x + 35) + 60 = 180
\]

### Simplifying:
\[
A + x + 35 + 60 = 180
\]
\[
A + x + 95 = 180
\]
\[
A + x = 180 - 95
\]
\[
A + x = 85
\]

From this equation, we can isolate \( x \):
\[
x = 85 - A
\]

To find \( x \), we need the value of \( A \). However, if we don't have \( A \), we could check possible values for \( x \) based on the answer options provided and see if they yield integer solutions for \( A \) within plausible ranges (since angles need to be non-negative).

### Evaluating Options:
1. **If \( x = 1 \)**:
\[
1 + 35 = 36 \quad (angle)
\]
\[
A + 36 + 60 = 180 \implies A + 96 = 180 \implies A = 84 \quad (valid)
\]

2. **If \( x = -10 \)**:
\[
-10 + 35 = 25 \quad (angle)
\]
\[
A + 25 + 60 = 180 \implies A + 85 = 180 \implies A = 95 \quad (valid)
\]

3. **If \( x = -5 \)**:
\[
-5 + 35 = 30 \quad (angle)
\]
\[
A + 30 + 60 = 180 \implies A + 90 = 180 \implies A = 90 \quad (valid)
\]

4. **If \( x = -6 \)**:
\[
-6 + 35 = 29 \quad (angle)
\]
\[
A + 29 + 60 = 180 \implies A + 89 = 180 \implies A = 91 \quad (valid)
\]

### Conclusion:
All calculations validate the relationships leading to angles that would work in a triangle.

Given the options, we'd typically look for x values that do not produce impossible scenarios (e.g., negative angles if combined with other angles). All checks are valid, but here we see that the simplest positive solution is with \( x = 1 \).

**Final Answer: \( x = 1 \)**.