Question

angles 3 and 5 are
the equation can be used to solve for x,
m∠5 = °

Explanation:

To solve this, we assume some context (e.g., lines \( p \) and \( q \) are parallel, and angle 3 has a measure related to \( x \), say \( m\angle 3 = 120^\circ - x \) and \( m\angle 5 = x \), but since the problem is incomplete, we'll use typical angle relationships.

Step 1: Identify Angle Relationship

Angles 3 and 5 are consecutive interior angles (if \( p \parallel q \), they are supplementary: \( m\angle 3 + m\angle 5 = 180^\circ \)).

Step 2: Equation for \( x \)

If \( m\angle 3 = 120^\circ \) (example) and \( m\angle 5 = x \), the equation is \( 120 + x = 180 \) (or similar, depending on given values). Solving: \( x = 180 - 120 = 60 \), so \( m\angle 5 = 60^\circ \).

(Note: The problem lacks specific angle measures for \( \angle 3 \). If \( \angle 3 \) is, e.g., \( 110^\circ \), the equation becomes \( 110 + x = 180 \), so \( x = 70 \). Provide the missing angle measure for \( \angle 3 \) to get the exact answer.)

For a complete example (assuming \( m\angle 3 = 120^\circ \)):

Step 1: Angle Relationship

Angles 3 and 5 are consecutive interior angles (supplementary if \( p \parallel q \)).

Step 2: Equation

\( m\angle 3 + m\angle 5 = 180^\circ \). Let \( m\angle 3 = 120^\circ \), \( m\angle 5 = x \).
\( 120 + x = 180 \)

Step 3: Solve for \( x \)

\( x = 180 - 120 = 60 \)

Answer:

Angles 3 and 5 are \(\boldsymbol{\text{consecutive interior angles}}\) (supplementary).
The equation \(\boldsymbol{120 + x = 180}\) (or similar) solves for \( x \).
\( m\angle 5 = \boldsymbol{60^\circ} \) (adjust based on \( m\angle 3 \)).