Question

One-half of its complement

Answer 1

Answer:

Let x and 2x represent the measure of this angle and its complement

Question states*** Note: complementary angles have a sum = 90°

x + 2x = 90°

3x = 90°

x = 30° (and its complement would be 60°)

x = angle

Since a complement of angle x means that the complement plus the angle add up to 90 degrees, the expression of the complement would be 90 - x

"angle...is half of its own complement"

angle = 1%2F2(complement)

x+=+%281%2F2%29%2890+-+x%29

Distribute the one-half into the 90 and -x:

x+=+45+-+x%2F2

Multiply both sides by 2 to clear fraction: 2x+=+90+-+x

Add x to both sides: 3x+=+90

Divide both sides by 3: x+=+30

***THEREFORE, THE ANGLE THAT IS HALF OF ITS OWN

Step-by-step explanation:

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