Sumali sa IDNStudy.com at makakuha ng maraming kaalaman. Magtanong ng anumang bagay at makatanggap ng mga maalam na sagot mula sa aming komunidad ng mga propesyonal.

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

Sagot :

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