Question

please help me solve​

Answer 1

Answer:

Ur answer is x=28

hope it helps uu dear......✌️✌️❤️❤️...

Answer 2

ANSWER:

x = 28°

_______________

Given:

In the given figure , find the value of x

To find :

The value of x

Angle A + angle B + angle C = 180°

(Angle sum property)

.

(5x - 60°) + (2x + 40°) + (3x - 80°) = 180°

(5x + 2x + 3x) + (-60° + 40° - 80°) = 180°

10x + 40° - 140° = 180°

10x + (-100°) = 180°

10x = 180° + 100°

10x = 280°

$x\:=\:\frac{\:280°}{10}$

x = 28°

.

Therefore, the value of x = 28°

____________________________

Now let's find the angles of the given triangle

Angle A = 5x - 60°

x = 28°

5(28) - 60°

= 140° - 60°

= 80°

So , angle A = 80°

___________

Angle B = 2x + 40°

x = 28°

2(28) + 40°

56° + 40°

= 96°

Angle b = 96°

____________

Angle C = 3x - 80°

x = 28°

3(28) - 80°

84° - 80°

= 4°

And angle C = 4°

-----------------------------------

Let's check !

Angle A + Angle B + Angle C = 180°

Solving LHS

80° + 96° + 4°

= 180°

And RHS = 180°

So , LHS = RHS

Hence , Checked !