The supplement of an angle is twice the meausurement of the angle. find the measurement of the smaller angle

Hello from MrBillDoesMath!

60

Discussion:

Let the angle be @. The supplement of the angle is 180 - @ and we are told it equals [email protected] That is,

180 [email protected] = [email protected]                     => add @ to both sides

180       = [email protected] [email protected]              => [email protected] [email protected] = [email protected]

180       = [email protected]                    => 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 [email protected] = 120). Indeed, they agree.

Thank you,

MrB

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