Question

Find the three angles of triangle angles are (3x-2) (2x+1) and (5x-9)

Answer 1

Sum of 3 angles of a triangle is 180°

Thus-----

3x-2+2x+1+5x-9=180

10x-10=180

10x=180+10

10x=190

x=190/10

x=19

Thus,the angles are---

3×19-2=55°

2×19+1=39°

5×19-9=86°

Answer 2

Answer:

(3x-2)+(2x+1)+(5x-9)=180...........Sum of three angles of triangle is 180°

3x-2+2x+1+5x-9=180°

(3x+2x+5x)-(2+1-9)=180°

10x-3-9=180°

10x-12=180°

10x=180°+12

10x=192°

x=19.2

Therefore the angles are 55.6°, 39.4°, 87°.

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