Question

if an angel is half of its complement find the measure of angles

Answer 1

let the angle be A,

then it's complement angle will be (90°-A),


now according to the question, we have

A = 1/2 × (90°-A),


2A=90°-A,


2A+A=90°,


3A=90°,

then

A=30°,


therefore

first angle =30°,


its complement angle =90°-30°=60°