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Angle 100° is quarter times greater than its supplementary angle 80°.

Solution:

let 'x' be the required angle and 'y' be its complementary angle.

x+y=180°

Now, x is quarter times greater than y.

That is, x=y+¼y.

therefore x=y+0.25y

=1.25y

thus, 1.25y + y = 180°

2.25y = 180°

y=80°

thus, x=1.25 X 80

=100°

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Q: What angle is quarter times greater than its supplementary angle?
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