Question

Two angles are supplementary with measures mACB = 4x°
and m<BCD = (6x + 50) ". What is the measure of LAC B?

Answer 1

To find the measure of angle ACB, you need to use the fact that supplementary angles add up to 180 degrees.

Given that m∠ACB = 4x° and m∠BCD = 6x + 50° are supplementary angles, we can write the following equation:

m∠ACB + m∠BCD = 180°
4x + 6x + 50 = 180
10x + 50 = 180
10x = 130
x = 13

Now, we can find the measure of angle ACB:

m∠ACB = 4x
m∠ACB = 4(13)
m∠ACB = 52°

Therefore, the measure of angle ACB is 52 degrees.