Question

multiple answer 5 points look at this diagram and choose all of the correct statements. angle 1 + angle 2 + angle 5 = 180 degrees angle 1 + angle 6 + angle 5 = 180 degrees angle 6 is congruent to angle 4 angle 2 + angle 1 = 90 degrees angle 1 is congruent to angle 4

Explanation:

Step1: Recall angle - sum and congruence properties

Vertical angles are congruent. Adjacent angles on a straight - line sum to 180 degrees.

Step2: Analyze each statement

• For "Angle 1 + Angle 2+ Angle 5 = 180 degrees": Angle 1, Angle 2, and Angle 5 do not lie on a straight - line, so this is false.
• For "Angle 1 + Angle 6+ Angle 5 = 180 degrees": Angle 1, Angle 6, and Angle 5 lie on a straight - line, so this is true.
• For "Angle 6 is congruent to Angle 4": Angle 6 and Angle 4 are vertical angles, so they are congruent. This is true.
• For "Angle 2 + Angle 1 = 90 degrees": There is no indication that l is perpendicular to m, so this is false.
• For "Angle 1 is congruent to Angle 4": Angle 1 and Angle 4 are not vertical angles and there is no information to suggest they are congruent, so this is false.

Answer:

Angle 1 + Angle 6 + Angle 5 = 180 degrees
Angle 6 is congruent to Angle 4