Question

angle relationships
complementary angles are angles whose measures add up to 90 degrees.
in the first diagram:

• there is a point p with a vertical line pn (upwards) and a line pg making an angle ∠1 of 60° with pn.
• there is a point m with a horizontal line mo (to the right) and a line mj making an angle ∠2 of 30° with mo.
• the equation given is ( mangle1 + mangle2 = square^circ )

in the second diagram:

• there is a point m with a vertical line mn (upwards, with a right angle symbol at m, indicating a 90° angle between mn and mo (horizontal line to the right)).
• a line mj makes two angles ∠3 (between mn and mj) and ∠4 (between mj and mo) at point m.
• the equation given is ( mangle3 + mangle4 = square^circ )

Explanation:

Step1: Calcular suma de ángulos 1 y 2

Sustituir los valores dados:
$m\angle1 + m\angle2 = 60^\circ + 30^\circ$

Step2: Obtener resultado de la suma

$60^\circ + 30^\circ = 90^\circ$

Step3: Identificar ángulos 3 y 4

Los ángulos forman un ángulo recto:
$m\angle3 + m\angle4 = 90^\circ$

Answer:

$m\angle1 + m\angle2 = 90^\circ$
$m\angle3 + m\angle4 = 90^\circ$