Step-by-step explanation:
Answer is in the pic above
Given:
AD is an angle bisector in triangle ABC.
.
To find:
The value of
.
Solution:
AD is an angle bisector in triangle ABC.



According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
Using angle sum property in triangle CAD, we get





Therefore, the angle of angle ADC is
.
Answer:
12 stores
Step-by-step explanation:
180 * 1/15 = 180/15 = 12
4s+7a=861
s+a=168
This can be solved using either elimination or substitution. I am going to use substitution.
Solve s+a=168 for s
s=168-a
Replace 168-a for s in 4s+7a=861
4(168-a)+7a=861
672-4a+7a=861
Solve for a
672+3a=861
3a=189
a=63
Substitute 63 for a in s=168-a
s=168-63=105
So, s=105 student tickets and a=63 adult tickets