Respuesta :
Hello from MrBillDoesMath!
Answer:
60
Discussion:
Let the angle be @. The supplement of the angle is 180 - @ and we are told it equals 2@. That is,
180 -@ = 2@ => add @ to both sides
180 = 2@ +@ => 2@ +@ = 3@
180 = 3@ => divide both sides by 3
180/3 = @
@ = 60
Check: the supplement of an angle (which is 180 - @ - 180 -60 = 120) is twice the measure of the angle (@ = 60 and 2@ = 120). Indeed, they agree.
Thank you,
MrB
Answer:
60° and 120°
Step-by-step explanation:
Supplementary angles are 2 angles that add up to 180°
From the given information we can write 2 equations...
1) It mentions supplement, so we can say
a + b = 180° (a is the angle, b is the supplement)
2) "The supplement of an angle is twice the measurement of the angle",
Since b is the supplement,
b = 2a
We can substitute equation to into the first equation and solve
a + 2a = 180° (b becomes 2a)
3a = 180° (combine like terms)
a = 60° (divide both sides by 3 to isolate a)
Since a + b = 180°, and a = 60°, solve..
60° + b = 180°
b = 120° (subtract 60° from both sides to isolate b)
