If the difference of two supplementary angles is 72°, then the two angles are __________.

9° and 81°

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126° and 54°

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126° and 44°

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72° and 18°

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Solution

The correct option is B 126° and 54°
Let’s say one of the angles is x° . Then, the other angle will be its supplementry i.e., (180 - x)°. And it's given their difference is 72°.
i.e., x - (180 - x) = 72°
2x = 72 + 180
2x = 252°
x = 126°
So, the other angle is (180 - x) or 54°.

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If the difference of two supplementary angles is 72°, then the two angles are __________.

The correct option is B 126° and 54°Let’s say one of the angles is x° . Then, the other angle will be its supplementry i.e., (180 - x)°. And it's given their difference is 72°. i.e., x - (180 - x) = 72° 2x = 72 + 180 2x = 252° x = 126° So, the other angle is (180 - x) or 54°.

The correct option is B 126° and 54°
Let’s say one of the angles is x° . Then, the other angle will be its supplementry i.e., (180 - x)°. And it's given their difference is 72°.
i.e., x - (180 - x) = 72°
2x = 72 + 180
2x = 252°
x = 126°
So, the other angle is (180 - x) or 54°.