Question

determine which angles must be congruent to angle x. select three the angles that must be congruent to angle x. a angle 6 b angle 4 c angle 1 d angle 2 e angle 5 f angle 7 g angle 3

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are congruent. Angle \(x\) and angle \(3\) are vertical angles, so \(\angle x\cong\angle3\).

Step2: Identify corresponding - angle relationship

If \(j\parallel k\), corresponding angles are congruent. Angle \(x\) and angle \(5\) are corresponding angles, so \(\angle x\cong\angle5\).

Step3: Identify alternate - interior - angle relationship

If \(j\parallel k\), alternate - interior angles are congruent. Angle \(x\) and angle \(4\) are alternate - interior angles, so \(\angle x\cong\angle4\).

Answer:

B. angle 4
E. angle 5
G. angle 3