findthe angle which is 20timesit supplementary
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When you solve questions of this kind, the first step must be assuming a variable through which you can relate other values.
Here we can see that if we assume the smaller angle be x then,
The supplement angle = 20(180 - x)
As, We also know that sum of supplementary angles is always 180°.
Therefore,
x + 20(180 - x) = 180°
x + 3600 - 20x = 180°
- 19x = 180 - 3600
- 19x = - 3420
19x = 3420
x = 3420 / 19
On solving further we get,
x = 180°
Therefore,
The required angle = 180°
Here we can see that if we assume the smaller angle be x then,
The supplement angle = 20(180 - x)
As, We also know that sum of supplementary angles is always 180°.
Therefore,
x + 20(180 - x) = 180°
x + 3600 - 20x = 180°
- 19x = 180 - 3600
- 19x = - 3420
19x = 3420
x = 3420 / 19
On solving further we get,
x = 180°
Therefore,
The required angle = 180°
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