contestada

18. Find the measure of each numbered angle.
m∠1 = 50°, m∠2 = 90°, m∠3 = 40°, and m∠4 = 50°
m∠1 = 50°, m∠2 = 90°, m∠3 = 30°, and m∠4 = 50°
m∠1 = 70°, m∠2 = 130°, m∠3 = 20°, and m∠4 = 70°
m∠1 = 60°, m∠2 = 90°, m∠3 = 30°, and m∠4 = 60°

18 Find the measure of each numbered angle m1 50 m2 90 m3 40 and m4 50 m1 50 m2 90 m3 30 and m4 50 m1 70 m2 130 m3 20 and m4 70 m1 60 m2 90 m3 30 and m4 60 class=

Respuesta :

kudzordzifrancis

Answer:

m∠1 = 50°, m∠2 = 90°, m∠3 = 40°, and m∠4 = 50°

Step-by-step explanation:

Angles on straight line are equal;

[tex]m \angle1 + 130 = 180[/tex]

[tex]m \angle1= 180 - 130 \\ m \angle1= 50[/tex]

Vertical angles are equal,

[tex]m \angle4= m \angle \: 1= 50 \degree[/tex]

Complementary angles add up to 90°.

[tex]m \angle3 + m \angle4 = 90 \degree \\ 40 + m \angle3 = 90 \degree. \\ m \angle3 = 90 \degree - 50 \degree \\ m \angle3 = 40 \degree [/tex]

Angles on straight line adds up to 180°

[tex]m \angle1 + m \angle2 + m \angle3 = 180 \degree[/tex]

[tex]40 + m \angle2 + 50 = 180 \\ m \angle2 = 180 - 50 - 40 = 90[/tex]

Otras preguntas