Solved on Nov 24, 2023

Find the value of $x$ in a triangle with angles $2x$ , $x$ , and $60$ degrees.

STEP 1

Assumptions1. The triangle is a simple triangle, meaning it has three sides and three angles. . The sum of the angles in a triangle is always180 degrees.

STEP 2

We start by setting up an equation based on the fact that the sum of the angles in a triangle is180 degrees.
$2x + x +60 =180$

STEP 3

We simplify the equation by combining like terms.
$3x +60 =180$

STEP 4

Next, we isolate the variable $x$ by subtracting60 from both sides of the equation.
$3x =180 -60$

STEP 5

We simplify the right side of the equation.
$3x =120$

STEP 6

Finally, we solve for $x$ by dividing both sides of the equation by3.
$x =120 /3$

STEP 7

Calculate the value of $x$ .
$x =120 /3 =40$ The value of $x$ is40 degrees.

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Find the value of $x$ in a triangle with angles $2x$ , $x$ , and $60$ degrees.

STEP 1

Assumptions1. The triangle is a simple triangle, meaning it has three sides and three angles. . The sum of the angles in a triangle is always180 degrees.

STEP 2

We start by setting up an equation based on the fact that the sum of the angles in a triangle is180 degrees.
$2x + x +60 =180$

STEP 3

We simplify the equation by combining like terms.
$3x +60 =180$

STEP 4

Next, we isolate the variable $x$ by subtracting60 from both sides of the equation.
$3x =180 -60$

STEP 5

We simplify the right side of the equation.
$3x =120$

STEP 6

Finally, we solve for $x$ by dividing both sides of the equation by3.
$x =120 /3$

STEP 7

Calculate the value of $x$ .
$x =120 /3 =40$ The value of $x$ is40 degrees.

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Find the value of xxx in a triangle with angles 2x2x2x, xxx, and 606060 degrees.

STEP 1

Assumptions1. The triangle is a simple triangle, meaning it has three sides and three angles. . The sum of the angles in a triangle is always180 degrees.

STEP 2

We start by setting up an equation based on the fact that the sum of the angles in a triangle is180 degrees.2x+x+60=1802x + x +60 =1802x+x+60=180

STEP 3

We simplify the equation by combining like terms.3x+60=1803x +60 =1803x+60=180

STEP 4

Next, we isolate the variable xxx by subtracting60 from both sides of the equation.3x=180−603x =180 -603x=180−60

STEP 5

We simplify the right side of the equation.3x=1203x =1203x=120

STEP 6

Finally, we solve for xxx by dividing both sides of the equation by3.x=120/3x =120 /3x=120/3

STEP 7

Calculate the value of xxx.x=120/3=40x =120 /3 =40x=120/3=40The value of xxx is40 degrees.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the value of $x$ in a triangle with angles $2x$ , $x$ , and $60$ degrees.

We start by setting up an equation based on the fact that the sum of the angles in a triangle is180 degrees.
$2x + x +60 =180$

We simplify the equation by combining like terms.
$3x +60 =180$

Next, we isolate the variable $x$ by subtracting60 from both sides of the equation.
$3x =180 -60$

We simplify the right side of the equation.
$3x =120$

Finally, we solve for $x$ by dividing both sides of the equation by3.
$x =120 /3$

Calculate the value of $x$ .
$x =120 /3 =40$ The value of $x$ is40 degrees.