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29 votes
29 votes
Ray BD bisects angle ABC.

Find m/ABD, m/CBD, and m/ABC.
B (7x
(3x + 6)°
18) C

Ray BD bisects angle ABC. Find m/ABD, m/CBD, and m/ABC. B (7x (3x + 6)° 18) C-example-1
User Nehir
by
2.5k points

1 Answer

18 votes
18 votes

Answer:

The two smaller angles equal 24 and together they equal 48

Explanation:

The bisector tells us that the smaller angles equal each other

3x + 6 = 7x - 18 Subtract 3x from both sides

6 = 4x - 18 Add 18 to both sides

24 = 4x Divide both sides by 4

6 = x

Now, plug 6 back into each equation.

3x + 6

3(6) + 6

18 + 6

24

7x - 18

7(6) - 18

42 - 18

24

User Sdjuan
by
3.0k points