Mathematics

Find the angle which is half of its complement ?


SOLUTION

Two angles are complementary if their sum is equal to 90 degrees.

Let x be the angle, then its complementary angle is 90-x . We are told that the angle is half of itz complement, so

$$x={\dfrac{1}{2}}(90-x)$$ multiply by 2

2x=90-x move x to left side

3x=90 divide by 3

x=30

The angle is 30 degrees.

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