find the angle whose suppelemt is two seventh of its complement
Answers
Answered by
0
Answer:
40°
Step-by-step explanation:
The angle which is two-seventh (2/7) of its supplement is 40°.
Answered by
138
Answer:
The angle which is two-seventh (2/7) of its supplement is 40°.
Solution:
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°
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