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.