Question

If two angles of a triangle measure 2x and (x+10) respectively. what is the third angle?

please tell fast​

Answer 1

Step-by-step explanation:

We know sum of all three angles of triangle = 180°

Given two angles = 2x And ( x + 10° )

As given triangle is isosceles so two angles are same in measure ,

So,

Three angles can be 2x , 2x , x + 10° OR x + 10° , x + 10° , 2x

So,

Let here third angle will be 2x

2x + 2x + x + 10° = 180°

5x = 170°

x = 34°

So,

Angles are = 2x = 2 (34° ) = 68° , 2x = 2 (34° ) = 68° , x + 10° = x + 34° = 44°

Here third angle will be

= 68° ( Ans )

And

if angles are As :

x + 10° , x + 10° , 2x

Here third angle will be x + 10°

SO,

x + 10° + x + 10° + 2x = 180°

4x = 160°

x = 40°

So,

Angles are x + 10° = 40° + 10° = 50° , x + 10° = 40° + 10° = 50° , 2x = 2 ( 40 ° ) = 80°

So

here third angle will be = 50°

PLZ MARK ME AS BRAINLIST

Answer 2

Given: The two angles of a triangle measure$2x$ and$(x+10)$ respectively.

We have to find the third angle of the triangle.

As we know that the sum of three angles of a triangle is $180$°.

We are solving in the following way:

Let assume the third angle of a triangle is$x$.

$\therefore 2x+(x+10)+x=180\\=>2x+x+10+x=180\\=>4x+10=180\\=>4x=180-10\\=>4x=170$

Solving the above equation further we get,

$=>x=\frac{170}{4} \\\\=>x=42.5$

The other angles of a triangle are:

$=>2x=2\times42.5\\=>85\\\\=>x+10=42.5+10\\=>52.5$

And $42.5+85+52.5=180$

Hence, the third angle of the triangle will be $42.5$°.