Solve question no. 20
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for these type of questions you have to read carefully then think about possibilities then solve these problems.
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Step-by-step explanation:
Let one acute angle be x.
So, second is (2/3)x=(2x)/3.
Third angle is 90° as it is a right triangle.
According to angle sum property of a triangle, sum of all 3 angles of it is 180°.
So,
90°+x+(2x)/3=180°
Taking 3 as LCM in LHS,
(270°+3x+2x)/3=180°
Transferring 3 to RHS,
270°+5x=180°×3
270°+5x=540°
5x=540°-270°
5x=270°
x=270°/5
x=54°
Hence first angle=54°.
And second angle=(2×54°)/3.
second angle=108°/3.
second angle=36°.
Hope it helps you.
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