between the 2 supplementary angles the measure of the smaller angles is 16 less than the larger angle.Findthe measure of these angle?
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suryanarayana36:
Yes it is correct answer
Answered by
68
Let one angle be x and another be y
x - y = 16°
x + y = 180° ( Sum of supplimentary angles )
On adding two equations we get
2x = 196°
x = 98°
Substituting value of x we get
x - y = 16°
98° - y = 16°
98° - 16° = y
82° = y
So largest angle is 98° and smallest angle is 82°.
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