an angle is 200 more than three times the given angle. if the two angles are supplementary then the angles are
a- 20 and 160
b-40 and 140
c-60 and 120
d- 70 and 110
Answers
Answer:
40 nd 140
Step-by-step explanation:
let one angle be =x
other angle =3x+20
x+3x+20=180°
4x+20=180°
4x=180°-20
4x=160°
x=40
other angle= 3x+20
3×40+20
140
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Although a part of your question is missing, you might be referring to this question:
An angle is 20° more than three times the given angle. If the two angles are supplementary then the angles are?
Given: An angle is 20° more than three times the given angle. The two angles are supplementary.
To find: The angles
Solution: Supplementary angles are a pair of angles whose sum is equal to 180°.
Let the given angle be x.
Since the other angle is 20° more than three times the given angle,
The other angle= 3x+20°
Since both of them are supplementary angles, therefore:
x + (3x+20°) = 180°
=> 4x + 20° = 180
=> 4x = 180-20
=> 4x = 160
=> x = 160/4
=> x = 40°
The other angle= 3x+20°
= 3× 40° +20°
= 140°
Therefore, the angles are 40° and 140°.