Question

please let me know how it's done ​

Answer 1

Answer:

2x + 40 + 5x - 60 + 3x - 80 = 180⁰..

( All angles of triangle is 180⁰)

10x - 100 = 180⁰

10x = 180 + 100

10x = 280

x = 28

Answer 2

Answer :-

• The value of x in the given figure is 28°.

Given :-

• The three angles of the triangle are (2x + 40)°, (5x - 60)°, (3x - 80)°.

To find :-

• The value of x.

Step-by-step explanation :-

The sum of all the angles in a triangle = 180°.

We know the value of all the angles.

Thus, we get :-

$\sf (2x+40)^{\circ} + (5x-60)^{\circ} + (3x-80)^{\circ} = 180^{\circ}$

$\sf 2x^{\circ} + 40^{\circ} + 5x^{\circ} - 60^{\circ} + 3x^{\circ} - 80^{\circ} = 180^{\circ}$

$\sf (2x + 5x + 3x)^{\circ} + (40 - 60 - 80)^{\circ} = 180^{\circ}$

$\sf 10x^{\circ} + ( - 100)^{\circ} = 180^{\circ}$

$\sf 10x^{\circ} - 100^{\circ} = 180^{\circ}$

$\sf 10x^{\circ} = 180^{\circ} + 100^{\circ}$

$\sf 10x^{\circ} = 280^{\circ}$

$\sf x^{\circ} = \dfrac{280^{\circ}}{10^{\circ}}$

$\sf x^{\circ} = 28^{\circ}.$

So, the value of x in the given figure is 28°.