Question

in the figure below, m ∠stv=133° and m ∠1=47°. find m ∠2.

Explanation:

Step1: Identify straight angle

$\angle STV$ is a straight angle, so $m\angle STV = 180^\circ$.

Step2: Calculate $m\angle 2$

$m\angle 2 = 180^\circ - m\angle 1 - (180^\circ - 133^\circ)$? No, simpler: $\angle STV = \angle 1 + \angle 2 + \text{adjacent angle}$, but wait—correction: $\angle STV$ is supplementary to the angle adjacent to $\angle 1$ and $\angle 2$? No, direct: $133^\circ = 47^\circ + m\angle 2$? No, wait the figure shows $T$ with rays $S$, $W$, $V$: $\angle STV$ is the outer angle, so $\angle STV = m\angle 1 + m\angle 2$. Thus $m\angle 2 = 133^\circ - 47^\circ$.

Step3: Compute the value

$133 - 47 = 86$

Answer:

86