Question

three angles of a triangle are x/2,3x,2x-18 degree what is the measure of the greatest angle

Answer 1

Answer:

we that sumof all angles of triangle =180°

x/2+3x+2x-18=180°

x/2+5x=180°+18

11x/2=198°

x=198°×2/11

x=18×2

x=36°

greatest angle =3x=3×36=108°

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Answer 2

Answer:

The measure of the greatest angle is = 108°

Step-by-step explanation:

Three angles of a triangle are x/2 , 3x , 2x-18 degree respectively,

Now we have to find the measure of the greatest angle,

Now, we know that the sum of the angles of a triangle is 180°

Therefore,

x/2+3x+(2x-18) = 180°

=> x/2 + 5x-18 = 180°

=>{ (x×1) +((5x-18) ×2) }/2 =180°

=> {x+10x-36}/2= 180°

=> {11x-36} = 180°×2=360°

=>11x = 360+36

=> x = 396/11 = 36

The the value of x is = 36°

So the angles of the triangle are, 36/2 , 3×36 , 2×36 -18

That is, 18°, 108°, 54° are the angles of the triangle

So, the measure of the greatest angle is = 108°