Question

An angle is 36⁰ less than its complement. What is the measure of the angle?

Answer 1

Answer:

27 degrees.

Step-by-step explanation:

If the angles are x and y then as they are complementary:

x + y = 90    -  and we are given that:

x - y = 36      Adding the 2 equations:

2x = 126

x = 63.

So  63 - y = 36

y = 63 - 36 = 27.

Answer 2

Answer:

54º

Step-by-step explanation:

So a complimentary angle equals 90º. Come up with an equation, such as 36 + x = 90. And now all you have to do is solve.

36 + x = 90

-36         -36

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x = 54

Another way is, "less" means subtract. And complimentary means two angles that equal 90º. So you can do 90 - 36 which equals 54