Question

Find the supplement of the complement of angle a if angle a equals 82

Answer 1

Answer:

172 degrees

Step-by-step explanation:

The complement of an angle, when added to that angle is equal to 90, so do x + 82 = 90

x = 8

The supplement of a an angle when added to that angle is equal to 180 so do

y + 8 = 180

y = 172

Answer 2

Applying the definition of supplementary angles and complementary angles, if angle A is 82 degrees, the supplement of the complement of angle A is: 172 degrees.

Recall:

• Angles that are complementary, will sum up to give 90 degrees.

• Angles that are supplementary, will add up to give 180 degrees.

Given that Angle A equals 82 degrees.

• The complement of angle A will be: 90 - 82 = 8 degrees.

Thus:

The supplement of 8 degrees will be: 180 - 8 = 172 degrees.

Therefore, applying the definition of supplementary angles and complementary angles, if angle A is 82 degrees, the supplement of the complement of angle A is: 172 degrees.

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