The measure of the supplement of an angle is 40^{circ} more than three times the measure of the original angle.

Bergen 2021-02-02 Answered

The measure of the supplement of an angle is 40 more than three times the measure of the original angle. Find the measure of the angles. Instructions: Use the statement: " Let the original angle be x " to begin modeling the working of this question.

a) Write algebraic expression in terms of x for the following:

I) 40 more than three times the measure of the original angle

II) The measure of the Supplement angle in terms of the original angle, x

b) Write an algebraic equation in x equating I) and II) in a)

c) Hence solve the algebraic equation in

b) and find the measure of the angles.

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Expert Answer

Willie
Answered 2021-02-03 Author has 95 answers

Let the original angle be x. The supplement of the angle is given as 180  x.

a)

I) 40 more than three times the measure of the original angle =40+3x

II) The measure of the Supplement angle in terms of the original angle, x =180x

b) Write an algebraic equation in x equating I) and II) in a) 180x=40+3x

c) Hence solve the algebraic equation in  b) and find the measure of the angles.

180x=40+3x
18040=3x+x
4x=140
x=15

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