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Two supplementary angles are in the ratio $4:5$ , then the angles are

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30 °, 150 °

80 °, 100 °

90 °, 90 °

45 °, 45 °

answer is B.

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Detailed Solution

\Rightarrow 4 x + 5 x = 180 °

$9 x = 180 °$

$x = \frac{180 °}{9 °}$

$x = 20 °$

$4 x = 4 \times 20 ° = 80 °$

$5 x = 5 \times 20 ° = 100 °$

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