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Question

The sum of two angles X and Y is 180° If X is an obtuse angle. Y is _____.

A
an acute angle
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B
an obtuse angle
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C
a right angle
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D
more than 180°
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Solution

The correct option is A an acute angle
As seen in this figure, the sum of X and Y is 180°,

∴ X + Y = 180°

Y = 180° - X

As X is obtuse angle, Y must be acute angle.
Example:
Let's take X = 100° (Obtuse angle)
100° + Y = 180°
Y = 80° (Acute angle)

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