Question

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

Answer 1

Answer:

Acc 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°.

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Answer 2

Answer:

90° + 3x+ x = 180°

Step-by-step explanation:

90°+ 4x = 180°

4x=I80-90

4x=90°

x = 90/4 = 22.5

3x=3C22.5)

3x=67.5

22.5 +67.5= 90°

22.5,67. 5°,90°