Question

Can you help me answer both questions please for number 5

A.65 degrees
B.115 degrees
C.155 degrees
D.171 degrees

Answer 1

Answer: A

Explanation:

CD bisects ∠BCD and ∠ACD, so

∠BCD = ∠ACD

5x - 20 = 3x - 2

-3x +20 -3x + 20

2x = 18

÷2 ÷2

x = 9

∠BCD = 5x - 20 = 5(9) - 20 = 45 - 20 = 25

∠BCD + ∠CDB + ∠DBC = 180°

25 + 90 + ∠DBC = 180°

115 + ∠DBC = 180°

-115 -115

∠DBC = 65°