Question

The diagram shows a triangle.

Answer 1

See below.

Explanation:

We are asked to find the value of x.

First, we should know that a Triangles' angles adds up to 180° due to the Triangle having 3 sides.

Since a Triangles' angles add up to 180°, we can set all of the angles' combined sum equal to 180°.

Our Equation:

`6x+x+45+x+47=180`

We can begin solving for x.

Combine Like Terms:

`8x+92=180`

Subtract 92 from both sides:

`8x=88`

Divide by 8:

`(8x)/(8) = (88)/(8) \\x = 11.`

Our final answer is x equals 11.

Answer 2

x = 11

Explanation:

1) Put our angles into an equation

We know that all these angles in the triangle must add up to 180 so to put it simply we can write it as...

• 6x + x + 47 + x + 45 = 180

2) Simplify

To simplify what we have been given so far, we have to collect like terms.

• 8x + 92 = 180

3) Solve the equation

To solve this equation we have to isolate the x and to do this we have to get rid of the 92 and the 8. To get rid of these we have to subtract 92 from both sides and divide 8 from both sides!

• 8x + 92 - 92 = 8x = 88
• 8x ÷ 8x = x = 11

This means x = 11

Hope this helps, have a lovely day! :)