Two supplementary angles are such that one is two-third of the other. Find them.
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Answer:
The sum of two supplementary angles = 180°
Let one angle be x
The other angle is two third of x = 2/3x
i.e,
x + 2x/3 = 180
LCM = 3
3x/3 + 2x/3 = 180
5x/3 = 180
5x = 180×3
5x = 540
x = 540/5
= 108°
Therefore one angle is 108°
The other angle is 2/3 of 108°
= 72°
The two angles are 108° and 72°
Step-by-step explanation:
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