Question

The measure of an angle is 66° . What is the measure of its complementary angle ?

Answer 1

The supplement of 66° is the angle that when added to 66° forms a straight angle (180° ).

Explanation:

A supplementary angle is an angle that equals 180°. So now we know that the two angles added together will give us 180°, we can use this to check at the end.

Let's call the smaller angle x

We also know that the larger number is 66° more than the smaller. This gives us:

x+x+66°=180°.

x is equal to the smaller angle, and the second angle is (x) - the smaller number with an extra 66°, giving us the difference.

Now we can simplify this by subtracting 66° from both sides.

Answer 2

24º

Explanation:

90-66 = 24º. So since complementary angles are 2 angles that add up to 90 degrees. That means that 66 + x = 90 using the information given. Then we use algebra and get that x =24. Therefore the answer is 24º.