Question

The angles of a triangle are (2x)°, (3x+5)° and (4x – 14)º.
Find the value of x and the measure of each angle of the triangle.
19​

Answer 1

Answer:

bro your value of x is 27

Answer 2

• GIVEN:-

The angles of a triangle are (2x)°, (3x+5)° and (4x – 14)º.

• To Find:-

Find the value of x and the measure of each angle of the triangle.

• SOLUTION:-

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

According to the question,

$\large\Longrightarrow{\sf{(2x)+(3x+5)+(4x-14)=180\degree}}$

$\large\Longrightarrow{\sf{2x+3x+5+4x-14=180}}$

$\large\Longrightarrow{\sf{9x-9=180}}$

$\large\Longrightarrow{\sf{9x=180+9}}$

$\large\Longrightarrow{\sf{x=\huge\frac{189}{9}}}$

$\huge\red\therefore\boxed{\sf{\red{x=21}}}$

So the angles are:-

• 2x = 2 × 21 = 42°
• (3x + 5) = 3 × 21 + 5 = 68°
• (4x - 14) = 4 × 21 - 14 = 70°

$\large\blue\therefore\boxed{\sf{\blue{The\: angles \:are \:42\degree,\: 68\degree,\: 70\degree}}}$