Q.2)Find the angles of a triangle which are in the ratio 1:2:3
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Answer:
The Angles are 30 , 60 and 90
Step-by-step explanation:
The sum of the angles inside the triangle ( interior angles ) add upto 180 . This property of a triangle is called as " Angle Sum Property ".
Let the Common factor of the ratios be x
1x + 2x + 3x = 180
3x + 3x = 180
6x = 180
x = 180 ÷ 6
x = 30
angles are 1x , 2x and 3x ,
1x = 1 × 30 = 30
2x = 2 × 30 = 60
3x = 3 × 30 = 90
Verification :
30 + 60 + 90 = 180
90+ 90 = 180
180 = 180
Hence Verified
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1st step =The addition of all angel in Triangles =180
1x+2x+3x = 180
6x = 180
x = 180/6
x = 30
then
1x = 30
2x = 30*2 = 60
3x = 30*3 = 90
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