Question

One of the acute angles of the right triangle is one-third of the other , calculate the measure of each angle.

Give appropriate and step-by-step explanation.
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Answer 1

Answer:

PLZ MARK AS BRAINLIEST !

Step-by-step explanation:

According to angle sum property of a triangle the sum of measures of a triangle is 180°.

Hence here,  

90°+ 3x+x = 180°  

90° +4x =180°  

4X =180°-90°  

4x = 90°  

x =90°/4  

x = 22.5°  

3x = 3(22.5°)  

3x = 67.5°

Ans: One of the acute angle is 67.5° and other is 22.5°.

Answer 2

Answer:

22.5, 67.5

Step-by-step explanation:

x=1/3y

3x=y

sum of three angles of a triangle=180

x+y+90=180

x+3x+90 =180

4x+90=180

4x=180-90

4x=90

x=90/4

=22.5

y=3x=3×22.5=67.5