What is the value of x? x = 2.25 x = 11.25 x = 13 x = 22?

Question

contestada

Respuesta :

frika frika · Answer 1 · 2018-11-15T14:07:52+01:00

Three of given lines form a triangle with measures of two interior angles [tex]79^{\circ}[/tex] and [tex](2x+10)^{\circ}.[/tex]

The angle with measure [tex](6x+1)^{\circ}[/tex] is exterior angle of considered triangle.

The measure of exterior angle of triangle is equal to the sum of the measures of two not adjacent interior angles:

[tex]6x+1=2x+10+79,\\ \\6x+1=2x+89,\\ \\6x-2x=89-1,\\ \\4x=88,\\ \\x=22^{\circ}.[/tex]

Answer: correct choice is D

RajarshiG RajarshiG · Answer 2 · 2022-06-08T14:29:38+02:00

The value of x in the triangle formed by three lines in the given figure is 22°.

A triangle is a two dimensional geometrical figure that has three sides, three angles and three vertices.

Given, two interior angles formed by three lines are (2x + 10)° and 79°.

The exterior angle of the third angle is (6x + 1)°.

Therefore, (2x + 10)° + 79° = (6x + 1)°

⇒ 6x - 2x = 79° + 10° - 1°

⇒ 4x = 88°

⇒ x = 22°

The value of x in the given figure is 22°.

Learn more about a triangle here: https://brainly.com/question/11329230

#SPJ2