Answer:
B.) Transitive Property of Congruency; If parallel lines have a transversal, then alternative interior angles are congruent.
Step-by-step explanation:
Alternate interior angles are the two angles that are inbetween the parallel lines but are on opposite sides of the transversal. Angles 4 and 5 are alternate interior, and therefore, they are congruent.
An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
If MN is angle bisector, then
m∠JMN=m∠NMK.
The two smaller angles are adjacent angles, then
m∠JMK=m∠JMN+m∠NMK=2m∠JMN.
Divide this equality by 2:
the third holds 3/20 more than the first ,didn't I just answer this?lol
Answer:
150
Step-by-step explanation:
3 times 50 equal 150
Answer:
AE = 15 cm; ED = 18 cm; AD = 15 cm (given)
Step-by-step explanation:
ΔBEC ~ ΔAED so ...
AD/BC = AE/BE = (BE+AB)/BE = 1 + AB/BE
Substituting given numbers (lengths in centimeters), we have ...
15/10 = 1 + 5/BE
1/2 = 5/BE
BE = 10
Similarly, ...
1/2 = 6/CE
CE = 12
Then the unknown sides are ...
AE = AB + BE = 5 + 10 = 15 . . . cm
ED = CE + CD = 12 + 6 = 18 . . . cm
