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.

Question

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: &quot; Let the original angle be x &quot; 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.

Willie · Accepted Answer

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 =180−x  b) Write an algebraic equation in x equating I) and II) in a) 180−x=40∘+3x  c) Hence solve the algebraic equation in  b) and find the measure of the angles.  180−x=40∘+3x 180−40=3x+x 4x=140 x=15∘

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

Answered question

Answer & Explanation

New Questions in College Statistics