Question

Ray YL bisects ZAY B. Find the measurement of

ZBYL.
B
(7x + 17)
(3(4x - 1))
Y
0 90
0 45
0 None of the above
0 20

Answer 1

The red angles must be equal as YL is bisector

• 7x+17=3(4x-1)
• 7x+17=12x-3
• 17+3=12x-7x
• 20=5x
• x=4

<BYL

• 3(4(4)-1)
• 3(16-1)
• 3(15)
• 45

Option B

Answer 2

• B. 45

Explanation:

YL is the angle bisector of ∠AYB, so the two angles are congruent:

• ∠AYL ≅ ∠BYL

Substitute and solve for x:

• 7x + 17 = 3(4x - 1)
• 7x + 17 = 12x - 3
• 12x - 7x = 17 + 3
• 5x = 20
• x = 4

Find the value of ∠BYL:

• 3(4*4 - 1) =
• 3(16- 1) =
• 3(15) =
• 45

This is matching the answer option B.