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An angle is measured 9 more than two times the measure of its supplement. find the measure of both angles.



Answer :

Answer:

Step-by-step explanation:

Givens

Let the angle = x

Let it's supplement = 180 - x

Equation

x + 9 = 2*(180 - x)                  Remove the brackets

Solution

x + 9 = 360 - 2x                     Add 2x to both sides

x + 2x + 9 = 360 - 2x + 2x     Combine

3x + 9 = 360                          Subtract 9 from both sides

3x + 9-9 = 360-9                   Combine

3x = 351                                 Divide both sides by 3

3x/3=351/3

x = 117

Answer

Given angle = 117

Supplement = 180 - 117 = 63