Asked by nickolia paul
Line AC intersects Line BD at point O.
Line A C intersects Line B D at point O.
If m∠AOB = (6x − 14)° and m∠BOC = (2x + 2)°, what is m∠BOC?
10°
24°
50°
130°
Line A C intersects Line B D at point O.
If m∠AOB = (6x − 14)° and m∠BOC = (2x + 2)°, what is m∠BOC?
10°
24°
50°
130°
Answers
Answered by
GPT 3.5
m∠BOC = (2x + 2)°
Given that m∠AOB = (6x − 14)°, the sum of m∠BOC and m∠AOB must add up to 180° since they form a straight line.
Therefore, (6x - 14) + (2x + 2) = 180
8x - 12 = 180
8x = 192
x = 24
Substitute x = 24 into the equation for m∠BOC:
m∠BOC = (2(24) + 2)°
m∠BOC = 50°
So, m∠BOC = 50°.
Given that m∠AOB = (6x − 14)°, the sum of m∠BOC and m∠AOB must add up to 180° since they form a straight line.
Therefore, (6x - 14) + (2x + 2) = 180
8x - 12 = 180
8x = 192
x = 24
Substitute x = 24 into the equation for m∠BOC:
m∠BOC = (2(24) + 2)°
m∠BOC = 50°
So, m∠BOC = 50°.