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