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Sagot :
Answer:
The angles are 24.6° and 155.4°
Step-by-step explanation:
Supplementary angles:
Supplementary angles add up to 180°
Let the measure of the supplementary angle = x
So, the angle is 130.8 more than 'x'
The angle = x + 130.8
The angles are supplementary.
x + (x + 130.8) = 180
x + x + 130.8 = 180
2x + 130.8 = 180
2x = 180 - 130.8
2x = 49.2
x = 49.2/2
x = 24.6
x + 130.8 = 24.6 + 130.8
= 155.4
The angles are 24.6° and 155.4°
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
An angle measures 130.8º more than its supplementary angle. What is the measure of each angle?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Supplementary angles add up to 180º.
In order to find the unknown angles, we should first let the angle be x.
Set up an equation:-
(remember, there are 2 angles, x and x+130.8):-
x+x+130.8=180
Add the x's:-
2x+130.8=180
Subtract 130.8 from both sides:-
2x=49.2
Divide by 2 on both sides:-
x=24.6º
To find the other angle, add 130.8º:-
24.6+130.8=155.4º
Second angle=155.4º
Now, we need to make sure our solution is correct.
We can easily check it by adding both angles together and seeing whether or not we end up with 180:-
155.4+24.6=180
180=180
Since the left-hand side equals the right-hand side, our solution is indeed correct.
The angles are 24.6º and 155.4º
Good luck.
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