Question

1. find the measure of angle 3 and 4.

62° 44°
4 3
m∠3 =
m∠4 =

Explanation:

Step1: Encontrar \( m\angle4 \)

En un triángulo, la suma de los ángulos internos es \( 180^{\circ} \).
$$m\angle4=180^{\circ}-62^{\circ}-44^{\circ}$$
$$m\angle4 = 74^{\circ}$$

Step2: Encontrar \( m\angle3 \)

\(\angle3\) y \(\angle4\) son ángulos adyacentes y forman un ángulo recto de \( 180^{\circ} \).
$$m\angle3=180^{\circ}-m\angle4$$
Sustituir \( m\angle4 = 74^{\circ} \)
$$m\angle3=180^{\circ}-74^{\circ}$$
$$m\angle3 = 106^{\circ}$$

Answer:

\( m\angle3 = 106^{\circ} \)
\( m\angle4 = 74^{\circ} \)