Question

Use the diagram to answer the questions

1. which ray is a bisector of ABC
A. BC
B. BD
C. BA
D. BF

2. what is GH
A. 5
B. 10
C. 15
D. 25

3. what is the value of y
A. 2
B. 4
C. 16
D. 20

Answer 1

1. B. BD

2. C. 15

3. A. 2

Explanation:

1. From the figure,

∠DAB = ∠DAC

Therefore, BD is the bisector of ∠ABC.

2. From the figure, IG = GH

3x = 5x - 10

10 = 5x - 3x

2x = 10

x = 5

So, GH = 5x - 10

= 5(5) - 10

= 25 - 10

= 15

Therefore, GH = 15.

3. From the figure,

∠DAB = ∠DAC

10y = 8y + 4

10y - 8y = 4

2y = 4

y = 2