Question

mb intersects ∠amc. which of the following statements is true?

∠amb = ∠bmc
∠amb + ∠bmc = ∠amc
∠bmc + ∠amc = ∠amb
∠amb + ∠amc = ∠bmc

Explanation:

Step1: Recall angle - addition postulate

When a ray $\overrightarrow{MB}$ intersects $\angle AMC$, $\angle AMC$ is composed of two non - overlapping angles $\angle AMB$ and $\angle BMC$.

Step2: Write the angle - addition formula

$\angle AMB+\angle BMC=\angle AMC$.

Answer:

$\angle AMB+\angle BMC=\angle AMC$