There are angles whose measures add to 180°.
• Their measures are: mLA = 67°,
m_B = (2x + 20) •
, and mLC = x*. What is the measure of _B? (1 point)
0 62°
COURSE TOOLS
0 82°
О 180°
0 31°
m_LC = 180 - 67 = 113°
m_B = 2x + 20
So, m_B + mLC = 180
2x + 20 + 113 = 180
2x + 133 = 180
2x = 180 - 133
2x = 47
x = 47 / 2
x = 23.5
m_B = 2x + 20
m_B = 2(23.5) + 20
m_B = 47 + 20
m_B = 67
Therefore, the measure of angle _B is 67°.