Question

guiénte, m∠1 = 133°. hallar m∠2, m∠3 y m∠4.

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. $\angle1$ and $\angle3$ are vertical angles, and $\angle2$ and $\angle4$ are vertical angles.

Step2: Find $m\angle3$

Since $\angle1$ and $\angle3$ are vertical angles, $m\angle3=m\angle1 = 133^{\circ}$.

Step3: Find $m\angle2$

$\angle1$ and $\angle2$ are supplementary angles (a linear - pair), so $m\angle2=180^{\circ}-m\angle1$. Substitute $m\angle1 = 133^{\circ}$, then $m\angle2=180 - 133=47^{\circ}$.

Step4: Find $m\angle4$

Since $\angle2$ and $\angle4$ are vertical angles, $m\angle4=m\angle2 = 47^{\circ}$.

Answer:

$m\angle2 = 47^{\circ}$
$m\angle3 = 133^{\circ}$
$m\angle4 = 47^{\circ}$