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The larger of two supplementary angles exceeds the smaller by 18 degrees. The angles are:

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°

, 30

°

°

, 20

°

°

, 81

°

°

, 30

°

answer is C.

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Detailed Solution

Given the larger of two supplementary angles exceeds the smaller by 18 degrees.
Supplementary angles = x and y.
Let x be the larger angle and y be the smaller angle.
As we know that,

x + y = 180 °

Also, according to the question,

x − y = 18 °

From

x + y = 180 °

y = 180 ° − x

Putting in other equation,

x − (180 ° − x) = 18 °

2 x = 198 °

x = 99
Now, value of y is,

x + y = 180 °

99 ° + y = 180 °

y = 180 ° − 99 °

y = 81 °

The measure of 2 angles is 99

°

, 81

°

.
Hence, option 3 is correct.

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