if the angle of triangle are un ratio of 4:4:2 find the angle of triangle
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KNOWLEDGE REQUIRED
Sum of the 3 interior angle of ∆ = 180°
DECLARATION
Given,
ratio of angles -- 4:4:2
Let this ratio be 4x:4x:2x ( x is the variable constant)
WORKING
Sum of angle = 10 x
Total sum of angle = 180°
According to question,
10x =180°
==> x=18° √√
SOLUTION
1st angle ==> 4x = 4×18 = 72° √√
2nd angle ==> 4x = 4×18 = 72° √√
3rd angle ==> 2x = 2×18 = 36° √√
CONCLUSION
The ∆ is an isoceles ∆ since two angles in order are equal.
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