Question

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

Explanation:

Step1: Identify straight angle at T

$\angle STV$ is a straight angle, so $m\angle STV = 180^\circ$ (implied by the figure's straight line STV).

Step2: Calculate $m\angle 2$

Subtract $m\angle 1$ from $180^\circ$: $m\angle 2 = 180^\circ - 47^\circ = 133^\circ$? No, wait—correction: $\angle STV$ is given as $133^\circ$? No, recheck: the figure shows ST is a straight line left, TV is right, WT is between. So $\angle STW = \angle1 =47^\circ$, $\angle WTV=\angle2$, and $\angle STV=180^\circ$ (straight line). Thus $m\angle2=180^\circ -47^\circ=133^\circ$? Wait no, the problem says $m\angle STV=133^\circ$—wait, no, the problem statement might have a typo, but based on the figure (ST is straight left, TV is right, so STV is straight line=180°). So correct: $\angle1 + \angle2 = 180^\circ$, so $\angle2=180-47=133$? Wait no, wait the problem says $m\angle STV=133^\circ$—maybe STV is not straight? No, the figure shows ST as a straight line segment left, TV as right, so STV is straight (180°). So the calculation is $\angle2=180-47=133$.

Answer:

133