Question

PLEASE HELP

Given triangle GHI.



In blank 1, write the equation you will use to solve for x. Do not use any spaces.

In blank 2, write the value of x, DO NOT ROUND.

Question 2 options:
Blank # 1
Blank # 2

Answer 1

Blank 1 :- 2x + (5x - 20) + (x + 10) = 180°

Blank 2 :- x = 23.75

Step-by-step Step-by-step explanation:

As we know that sum of the interior angles of the triangle is equal to 180°, To solve for x, we can add all the three angles

The Equation becomes,
`\bf 2x + (5x - 20) + (x + 10) = 180\degree` (we can use this equation to solve for x)

Solving for x:-

`\sf 2x + (5x - 20) + (x + 10) = 180`

`\sf 2x + 5x - 20 + x + 10 = 180`

`\sf 7x - 20 + x + 10 = 180`

`\sf 8x - 10 = 180`

Add 10 to both sides,

`\sf 8x = 180 + 10`

`\sf 8x = 190`

Now, divide both sides by 8,

`\bf x = 23.75`

Hence,

• Blank 1 :- 2x + (5x - 20) + (x + 10) = 180°
• Blank 2 :- x = 23.75

Answer 2

The equation we used to solve for x is 8x - 10 = 180, and the value of x is 23.75 (rounded to two decimal places).

To solve for x in triangle GHI, we can use the fact that the sum of the angles in a triangle is 180 degrees.

First, let's set up the equation:

Angle G + Angle H + Angle I = 180

Substituting the given values, we have:

(5x - 20) + (2x) + (x + 10) = 180

Simplifying the equation:

8x - 10 = 180

Now, let's solve for x:

8x = 190

x = 190/8

x = 23.75 (rounded to two decimal places)