Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these triangles, which statement about x is true? A) x = 160, because 180 − (130 + 30) = 20 and 180 − 20 = 160 B) x = 20, because 130 + 30 = 160 and 180 − 160 = 20 C) x = 80, because 180 − 130 = 50 and 50 + 30 = 80 D) x = 340, because 130 + 30 = 160 and 160 + 180 = 340

Four triangles are shown One side of each triangle lies on a ray and the triangles are not drawn to scale Based on these triangles which statement about x is t class=

Respuesta :

Answer:

A

Step-by-step explanation:

Based on these triangles the correct value of x is = 160, because 180 − (130 + 30) = 20 and 180 − 20 = 160 .

What are triangles ?

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

Angle sum property:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°. parallel to the side BC of the given triangle. Thus, the sum of the interior angles of a triangle is 180°.

Given,

In the figure D, interior angle are 130 and 30 respectively so the

third angle will be 180 - 60 = 40

So, the value of x will be 180 - 40 = 60 (sum of angles on the line = 180)

Hence, the value of x = 160

To know more about triangles here

https://brainly.com/question/2773823

#SPJ3