plzzz do this fast I can't do it plzzźzz help me
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1
Answer:
2 /_ A = 3 /_ B = 6 /_ C
Let 2 /_ A = 3 /_ B = 6 /_ C = X° .
Then,
/_ A = (X/2)° , /_B = (X/3)° and /_ C = (X/6)°
Therefore,
X/2 + X/3 + X/6 = 180
as all angle of a triangle sum up to 180
3X + 2X + X = 1080 ( 180 x 6) ..... as 6 is the LCM
6X = 1080
X = 180
Therefore,
/_ A = X/2 = 180°/2 = 90°
/_ B = X/3 = 180°/3 = 60°
And,
/_ C = X/6 = 180°/6 = 30°.
Hope it Helps !!!
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Answered by
1
Answer:
For doing these types of ques
u have to take a constant
2<A =K
3<B =K
6<C= K
hence
<A = K/2
<B = K/3
<C = K/6
So according to angle sum property of triangle
<A +<B +<C = 180°
K/2 + K/3 + K/6 = 180°
(3K + 2K + K )/6 = 180°
6K = 180 × 6
Hence
K = 180°
Hence
<A= 90° (K/2)
<B = 60° ( K/3)
<C = 30 ° (K/6)
Hence measure of smallest angle 30°
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