Question

If one acute angle of a right triangle is half of the other, find the measure of both the acute
angles.
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Answer 1

Answer:

Both of the angles are 45 degrees

Step-by-step explanation:

Steps are given in the attachment

Answer 2

Answer:

30° and 60°

Step-by-step explanation:

let the measure of one acute angle be 2x

second acute angle is half of the first =x

90° + x+2x= 180°{angle sum property of triangle}

3x=180°-90°

3x=90°

x=30°

first acute angle=2x=2×30°=60°

second acute angle =x=30°