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The difference between the measures of 2 supplementary angles is 64. Find the measureof each angle.

Sagot :

The12idn

Answer:

The measures of the 2 supplementary angles are 58° and 122°.

Step-by-step explanation:

1.) Create a systems of equation. Equation 1 (top) is the sum between the measures of 2 supplementary angles, while equation 2 (bottom) is the difference between the measures of 2 supplementary angles.

   [tex]x+y=180\\x-y=64[/tex]

2.) Find the value of y by subtracting Equation 2 to Equation 1.

   [tex]x+y=180\\ x-y=64\\------\\2y = 116\\y=58[/tex]

3.) Substitute the value of y to Equation 1.

  [tex]x+y=180\\x+58=180\\x+58-58=180-58\\x=122[/tex]

Edit: Number 2