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I need help with problem 14

I Need Help With Problem 14 class=

Sagot :

Semsee45idn

Answer:

x = 50

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Therefore, add together the expressions for all 4 angles, equal to 360, and solve for x:

                                  (2x + 15) + (3x - 20) + x + (x + 15) = 360

Gather like terms:          2x + 3x + x + x + 15 - 20 + 15 = 360

Combine like terms:                                         7x + 10 = 360

Subtract 10 from both sides:                                   7x = 350

Divide both sides by 7:                                              x = 50

Answer:

x = 50

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

sum the 4 angles and equate to 360

2x + 15 + 3x - 20 + x + x + 15 = 360 , that is

7x + 10 = 360 ( subtract 10 from both sides )

7x = 350 ( divide both sides by 7 )

x = 50

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