An angle is equal to two-seventh of its supplement . Find the angles
Answers
Answer:
The given angles are 40 and 140
Step-by-step explanation:
The given angle = (2÷7)×(180-given angle)
Let the given angle be x.
x=(2÷7)×(180-x)
x= 51.42-(2÷7)x
1.285x=51.42
x=39.999
The angle is 39.9999 approx 40
And its supplement is 180-40=140
Answer:
The angle which is two-seventh (2/7) of its supplement is 40°. Its supplement angle is 140°.
Step-by-step explanation:
Supplementary angles, are angles that add to 180°
Let us take to angles x and y in this case. If they are supplementary, then x+y = 180°
Let us use x as the angle that is 2/7 of y
Therefore x = 2/7y
That means, 2/7y + y = 180°
Solve 2/7y + y = 180° to find y
2/7y + y = 180°
Multiply through the equation with 7 to eliminate the denominator
7(2/7y + y = 180°)
2y + 7y = 1260
9y = 1260
y = 1260/9
y = 140
Therefore one of the supplement angles is 140°
The other angle is 180° - 140° = 40°
The two supplementary angles are 140° and 40°