Question

if angle 2 equals (2x + 5)° and angle 3 equals 85°, what is the value of x?

Answer 1

To find the value of \( x \), we need to know the relationship between angle 2, which is given as \( (2x + 5)^\circ \), and angle 3, which is \( 85^\circ \).

Assuming that angle 2 and angle 3 are complementary (sum to \( 90^\circ \)) or supplementary (sum to \( 180^\circ \)), we can set up equations accordingly.

1. **If they are complementary**:
\[
(2x + 5) + 85 = 90
\]
\[
2x + 90 = 90
\]
\[
2x = 0
\]
\[
x = 0
\]

2. **If they are supplementary**:
\[
(2x + 5) + 85 = 180
\]
\[
2x + 90 = 180
\]
\[
2x = 90
\]
\[
x = 45
\]

To determine the appropriate value for \( x \), you need to know whether angles 2 and 3 are complementary or supplementary.

- If they are **complementary**, then \( x = 0 \).
- If they are **supplementary**, then \( x = 45 \).

Please provide additional context to clarify the relationship between the angles.