Question

an angle measures 58.4° more than the measure of its supplementary angle what is the measure of each angle

Answer 1

Answer:

58.4

119.2

Step-by-step explanation:

Givens

Let one angle = x

Let the other angle = x + 58.4

Together they make 180 degrees.

Equation

x + x + 58.4 = 180                Collect like terms.

Solution

2x + 58.4 = 180                    Subtract 58.4 from both sides

2x  = 180 - 58.4

2x = 121.6                              Divide by 2

x = 60.8

Answer

x = 60.8

x + 58.4 = 119.2                                

Answer 2

Answer:

        60.8°  and  119.2°

Step-by-step explanation:

α           - smaller angle

β = α + 58,4°    - larger angle

The sum of supplementary angles is 180°.

Therefore:

         α + β = 180°

  α + α + 58.4° = 180°

       2α   =  180° - 58.4°

         2α = 121.6°

           α = 121.6°÷2 = 60.8°

β = 60.8° + 58.4° = 119.2°

Checking:  119.2° + 60.8° = 180°