Answer:
True: 12, 13
False 11, 14
Step-by-step explanation:
Two lines intersect and form two pairs of vertical angles:
- angles 2 and 4 are vertical;
- angles 3 and the sum of angles 1 and 5 are vertical.
Vertical angles are always congruent, so
[tex]\angle 2\cong \angle 4[/tex] (12 statement is true)
[tex]\angle 3\cong \angle 1+\angle 5[/tex] (13 statement is true)
Angles 3 and 4 are supplementary angles (add up to 180°), but these angles can have different degree measures, so statement 11 is false.
Statement 14 is false too, because angle 3 can have the degree measure which differs form 90°.
