Question

Two angles are supplementary with measures of m<ACB =(4x) and m<BCD=(6x+50). What is the measure of ACB

Answer 1

[AI-generated answer — Bot GPT 3.5]

Supplementary angles add up to 180 degrees.

Therefore, we can write the equation 4x + 6x + 50 = 180.

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

Subtracting 50 from both sides, we get 10x = 130.

Dividing both sides by 10, we find x = 13.

Finally, we can plug this value back into the expression for m<ACB to find its measure:

m<ACB = 4x = 4 * 13 = <<4*13=52>>52 degrees. Answer: \boxed{52}.