Respuesta :

Answer:

The answers are on the image shown.

remember that all the angles of a triangle add up to 180

Step-by-step explanation:

hope this helps

Ver imagen madster27

Answer:

The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.

Step-by-step explanation:

According to exterior angle theorem: It a triangle

Exterior angle = Sum of opposite interior angles

In triangle BED,

[tex]\angle AEF=\angle B+\angle D[/tex]

[tex]82=\angle B+28[/tex]

[tex]82-28=\angle B[/tex]

[tex]54=\angle B[/tex]

The measure of angle B is 54°.

In triangle ABC,

[tex]\angle ACD=\angle A+\angle B[/tex]

[tex]105=\angle A+54[/tex]

[tex]105-54=\angle A[/tex]

[tex]51=\angle A[/tex]

The measure of angle A is 51°.

In triangle AEF,

Using angle sum property,

[tex]\angle A+\angle E+\angle AFE=180[/tex]

[tex]51+82+\angle AFE=180[/tex]

[tex]133+\angle AFE=180[/tex]

[tex]\angle AFE=180-133[/tex]

[tex]\angle AFE=47[/tex]

Therefore the measure of angle AFE is 47°.

Ver imagen erinna