The complement of angle A is 20 less than the supplement of angle A. Find the measure of angle A

Question

its hard 

Answer 1

Complementary angles add up to 90 degrees.

So the complement of angle A is (90-A).

 

Supplementary angles add up to 180 degrees.

So the supplement of angle A is (180-A)

 

The complement of A is 20 less than the supplement of angle A.

 

(90-A) + 20 = (180 -A)

 

110 - A = 180 - A

 

The contradiction 110 = 180 is obtained by adding A to both sides.

 

There is no such angle.

 

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Look at it this way:

 

Supplement - Complement=

 

(180 - A) - (90 - A) =

 

 180 - A - 90 +A = 90