Respuesta :

Answer: angle 1 = 22 degrees

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Work Shown:

x = measure of angle 1 = unknown

y = measure of angle 2 = 49

x+y = measure of angle PQS = 71

x+y = 71

x+49 = 71

x+49-49 = 71-49 .... subtract 49 from both sides

x = 22

angle 1 is 22 degrees.

Answer:

[tex]m \angle 1[/tex] = 49º.

Step-by-step explanation:

We are given that [tex]m\angle PQS[/tex] is 71º and [tex]m \angle 2[/tex] is 49º. Since [tex]m \angle 1 + m \angle 2[/tex] must equal [tex]m\angle PQS[/tex], we have that 49º + [tex]m \angle 1[/tex] = 71º. Therefore, [tex]m \angle 1[/tex] = 71º - 49º = 22º.