Two angles are supplementary with measures mLACB = 4x° and mLBCD = (6x + 50) °. What is the measure of LACB? (1 point)

Answer 1

If two angles are supplementary, their measures add up to 180 degrees.

So, we have mLACB + mLBCD = 180.

Substituting the given measures, we have:
4x + (6x + 50) = 180.

Combining like terms, we have 10x + 50 = 180.

Subtracting 50 from both sides, 10x = 130.

Dividing both sides by 10, x = 13.

To find the measure of LACB, we substitute this value into the expression for mLACB:
mLACB = 4(13) = 52 degrees.

Therefore, the measure of LACB is 52 degrees.