an angle measures 58.4° more than the measure of its supplementary angle what is the measure of each angle
2 answers:
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:
<h2>
60.8° and 119.2°</h2>
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°
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