Question

given the figure below, if m∠acb = 3x, m∠bcd = 2x, and m∠acd = 100. what equation would you use to solve for x? show your work on the handout for full credit. 2x = 100 3x = 100 3x + 2x = 100 2x + 3x + 100 = 180

Explanation:

Step1: Identify angle - sum relationship

Since $\angle ACD=\angle ACB+\angle BCD$ and $\angle ACD = 100$, $\angle ACB=3x$, $\angle BCD = 2x$, we use the equation $3x + 2x=100$.

Answer:

$3x + 2x=100$