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

Mathematics

2 answers:

olga55 [171]3 years ago

8 0

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

Illusion [34]3 years ago

8 0

Answer:

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°

You might be interested in

Rozalie spent $26 at a parking garage in downtown Orlando. The garage charged a base free of $7.50 for the first hour and a hour

bagirrra123 [75]

ANSWER : Rozalie spent 6.73 hours at the garage

rate of change = $2.75
base fee = $7.50

set up your equation:
2.75h + 7.5 = 26
($2.75/hour plus the base fee of $7.50 equals the total amount spent, $26)

Now just solve for h

2.75h + 7.5 = 26
2.75h = 18.5
h = 6.727273 (rounded)
h = 6.73

So the answer would be Rozalie spent about 6.73 hours at the garage.

6 0

3 years ago

Three dentists wanted to compare the ages of their patients. They each calculated their patients’ mean age and the mean absolute

Alexus [3.1K]

Dr. Appiah’s patients’ ages vary less than do Dr. Singh’s patients’ ages.

GARBAGE DAY!

3 0

3 years ago

Read 2 more answers

Explain with example of why 2^(-8) * 2^(-7) is equal to 2^(-15)

tatyana61 [14]

(-8)*(-7)=(-15)

the 2 in the beginning stays the same, and you multiply what’s in the parentheses to get (-15)

4 0