If mLBOA is 180° and m/BOC is 110° , what is the measure of LCOA? (1 point)

1 answer

LCOA is 250°.

Since the sum of the angles in a triangle is 180°, we can find the measure of LCOA by subtracting the sum of the other two angles from 180°:

m/LCOA = 180° - (m/LBOA + m/BOC)
m/LCOA = 180° - (180° + 110°)
m/LCOA = 180° - 290°
m/LCOA = -110°

However, since angles cannot be negative, we add 360° to find the positive equivalent angle:

m/LCOA = -110° + 360°
m/LCOA = 250°

Therefore, the measure of LCOA is 250°.