Question

the angle of a triangle are are 2x degrees, 3 X + 5 degrees and 4 x minus 14 degrees. find the value of x and the measure of each angle of the triangle.​

Answer 1

$\huge{\tt{\red{}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}☘$

We know that the sum of the angles of a triangle is 180°

$\therefore$2x°+3x°+5°+4x°-14°=180°

$\implies$9x°-9°=180°

$\implies$9x°=180°+9°=189°

$\implies$ x = $\frac{189°}{9°}$=21°

$\therefore$ 2x°=(2×21)°=$\bold\red{42°}$

(3x+5)°=[(3×21+5)]°=$\bold\red{68°}$

(4x-14)°=[(4×21)-14]°=$\bold\red{70°}$

Hence,the angles of the triangle are $\bold\blue{42°}$,$\bold\blue{68°}$,$\bold\blue{70°}$

Answer 2

Answer:

We know that the sum of the angles of a triangle is 180°

∴ 2x°+3x°+5°+4x°-14°=180°

⟹ 9x°-9°=180°

⟹ 9x°=180°+9°=189°

⟹ x =

9°

189°

=21°

∴ 2x°=(2×21)°=42°

(3x+5)°=[(3×21+5)]°=68°

(4x-14)°=[(4×21)-14]°=70°

Hence,the angles of the triangle are 42° ,68° ,70°