Question

find the measures of the three angles of a triangle if the largest is 14 degree less than three times the smallest,and the other angle is 4 degree more than the smallest

Answer 1

Answer:

Step-by-step explanation:

Let the smallest side be 'x'.

Largest side be '3x-14'.

And the other side 'x+4'

Step 1: 3x-14 + x+4 + x= 180 degrees

Step 2: -> 3x+x+x= 5x

            -> -14+4= -10

Step 3: 5x-10= 180 degrees

Step 4: 5x= 180+10 = 190 degrees

Step 5: x= 190/5= 38

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Therefore, x= 38 degrees

x+4= 38+4 = 42 degrees

3x-4= (38*3) - 14= 114-14= 100

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Verification= 38+42+100= 180 degrees