Question

Work out the size of angle x.
50°
120°
Х

Answer 1

Step-by-step explanation:

120+b= 180

b=60

x+50+60=180

x=70

Answer 2

The value of angle $x$  will be $70^0$ .

What is triangle ?

A triangle is a polygon with three edges and three vertices. Its angles sum property says that the sum of all angles of a triangle is equals to $180^0$  . i.e.

$\angle A + \angle B + \angle C = 180^0$

We have,

$\triangle ABC$, in which,

$\angle A =50^0$

$\angle C =x^0$

Let, $\angle B =y^0$

Now,

Work out for $\angle B$,

A straight line always makes an angle of $180^0$ i.e. line $CBD$, which is divided into parts at $B$ by $AB$,

So,

$120^0 + y =180^0$

$y=180-120$

$y=60^0$

Now,

Using angle sum property;

$\angle A + \angle B + \angle C = 180^0$

$50^0+60^0+x=180^0$

⇒ $x=180-110$

$x=70^0$

Hence, we can say that the measure of  $x$ in the triangle will be $70^0$  .

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