Question

If an angle is half of its complement,find the measure of angles

Answer 1

let angles be x ,x/2,
since angles are complementary
sum of two angles is 90 degrees
x+x/2=90
3x=180
x=60
angles are 60,30

Answer 2

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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=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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