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

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frika frika · Answer 1 · 2018-11-15T08:07:52-05:00

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

The angle with measure \((6x+1)^{\circ}\) 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:

\(6x+1=2x+10+79,\\ \\6x+1=2x+89,\\ \\6x-2x=89-1,\\ \\4x=88,\\ \\x=22^{\circ}.\)

Answer: correct choice is D

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RajarshiG RajarshiG · Answer 2 · 2022-06-08T08:29:38-04:00

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

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