Question

the angles of a triangle are 2x,3x+15,4x+14 find the value of x and measure of each angle

Answer 1

2x+3x+15+4x+14=180

2x+3x+4x+15+14=180

9x+29=180

9x=180-29

9x=151

x=151/9

x=16.77

I think it's help u

Answer 2

$<b>HEY THERE!!$

As we know the triangle has 3 angles and the sum pf all angles have 180° .
So according to question the angles of a triangle are 2x, 3x+15, 4x+14

So 2x + 3x+15 + 4x+14 = 180
=> 9x + 29 = 180

subtract 29 on both sides.

=> 9x = 151
Now divide by 9 ok both sides

=> x = 16.78

▪️So the measurment of x = 16.78°

▪️And the angle 1 => 2×16.78° => 33.56°

▪️And the second angle => 3× 16.78° + 15 => 65.34°

▪️And the third angle is => 4× 16.78° + 14 => 81.12°

So now lets check As i said that the some of the all angles of a triangle = 180°

Here angle 1 + angle 2 + angle 3 = > 33.56° + 65.34° +81.12° = 180°

Hope it helps you.