Question

if the angles of the triangle ABC are in the ratio 1/2:1/3:1/6,find the measures of all the angles respectively​

Answer 1

Answer:

Step-by-step explanation:

Sum of all three angle of a triangle = 180 degree

Let the angles be 1/2x  , 1/3x   and  1/6x

so,            1/2x      +     1/3x    +   1/6x    = 180 degree

by taking LCM of 2,3,6 = 6

Now,       1*3 /2*3x  +   1*2/ 3*2 x    + 1/6x   = 180 degree

or,           3/6x        +    2/6x       + 1/6x     = 180 degree

or,             (3+2+1)/6 x     = 180 degree

or,             6/6 x            = 180 degree

or,                     x           = 180 degree

So angles are   1/2  X 180   = 90 degree

                         1/3   X 180   = 60 degree

                          1/6   X 180   = 30 degree

Answer 2

Answer:

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Step-by-step explanation:

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